{"nbformat":4,"nbformat_minor":0,"metadata":{"colab":{"name":"8SVM-下.ipynb","version":"0.3.2","provenance":[],"collapsed_sections":[]},"kernelspec":{"display_name":"Python 3","language":"python","name":"python3"}},"cells":[{"metadata":{"id":"HWtpSmUYk4-W","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":2169},"outputId":"a0c6d4c1-489d-4fae-b85b-e9ddd4f20daa","executionInfo":{"status":"ok","timestamp":1546735187949,"user_tz":-480,"elapsed":3891,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["import numpy as np\n","import matplotlib.pyplot as plt\n","from matplotlib.colors import ListedColormap\n","from sklearn import svm\n","from sklearn.datasets import make_circles, make_moons, make_blobs,make_classification\n","\n","n_samples = 100\n","\n","datasets = [\n","    make_moons(n_samples=n_samples, noise=0.2, random_state=0),\n","    make_circles(n_samples=n_samples, noise=0.2, factor=0.5, random_state=1),\n","    make_blobs(n_samples=n_samples, centers=2, random_state=5),\n","    make_classification(n_samples=n_samples,n_features = 2,n_informative=2,n_redundant=0, random_state=5)\n","]\n","\n","Kernel = [\"linear\"]\n","\n","#四个数据集分别是什么样子呢？\n","for X,Y in datasets:\n","    plt.figure(figsize=(5,4))\n","    plt.scatter(X[:,0],X[:,1],c=Y,s=50,cmap=\"rainbow\")\n","\n","nrows=len(datasets)\n","ncols=len(Kernel) + 1\n","\n","fig, axes = plt.subplots(nrows, ncols,figsize=(10,16))\n","\n","#第一层循环：在不同的数据集中循环\n","for ds_cnt, (X,Y) in enumerate(datasets):\n","    \n","    #在图像中的第一列，放置原数据的分布\n","    ax = axes[ds_cnt, 0]\n","    if ds_cnt == 0:\n","        ax.set_title(\"Input data\")\n","    ax.scatter(X[:, 0], X[:, 1], c=Y, zorder=10, cmap=plt.cm.Paired,edgecolors='k')\n","    ax.set_xticks(())\n","    ax.set_yticks(())\n","    \n","    #第二层循环：在不同的核函数中循环\n","    #从图像的第二列开始，一个个填充分类结果\n","    for est_idx, kernel in enumerate(Kernel):\n","        \n","        #定义子图位置\n","        ax = axes[ds_cnt, est_idx + 1]\n","        \n","        #建模\n","        clf = svm.SVC(kernel=kernel, gamma=2).fit(X, Y)\n","        score = clf.score(X, Y)\n","        \n","        #绘制图像本身分布的散点图\n","        ax.scatter(X[:, 0], X[:, 1], c=Y\n","                   ,zorder=10\n","                   ,cmap=plt.cm.Paired,edgecolors='k')\n","        #绘制支持向量\n","        ax.scatter(clf.support_vectors_[:, 0], clf.support_vectors_[:, 1], s=100,\n","                    facecolors='none', zorder=10, edgecolors='white')\n","        \n","        #绘制决策边界\n","        x_min, x_max = X[:, 0].min() - .5, X[:, 0].max() + .5\n","        y_min, y_max = X[:, 1].min() - .5, X[:, 1].max() + .5\n","        \n","        #np.mgrid，合并了我们之前使用的np.linspace和np.meshgrid的用法\n","        #一次性使用最大值和最小值来生成网格\n","        #表示为[起始值：结束值：步长]\n","        #如果步长是复数，则其整数部分就是起始值和结束值之间创建的点的数量，并且结束值被包含在内\n","        XX, YY = np.mgrid[x_min:x_max:200j, y_min:y_max:200j]\n","        #np.c_，类似于np.vstack的功能\n","        Z = clf.decision_function(np.c_[XX.ravel(), YY.ravel()]).reshape(XX.shape)\n","        #填充等高线不同区域的颜色\n","        ax.pcolormesh(XX, YY, Z > 0, cmap=plt.cm.Paired)\n","        #绘制等高线\n","        ax.contour(XX, YY, Z, colors=['k', 'k', 'k'], linestyles=['--', '-', '--'],\n","                    levels=[-1, 0, 1])\n","        \n","        #设定坐标轴为不显示\n","        ax.set_xticks(())\n","        ax.set_yticks(())\n","        \n","        #将标题放在第一行的顶上\n","        if ds_cnt == 0:\n","            ax.set_title(kernel)\n","            \n","        #为每张图添加分类的分数   \n","        ax.text(0.95, 0.06, ('%.2f' % score).lstrip('0')\n","                , size=15\n","                , bbox=dict(boxstyle='round', alpha=0.8, facecolor='white')\n","                \t#为分数添加一个白色的格子作为底色\n","                , transform=ax.transAxes #确定文字所对应的坐标轴，就是ax子图的坐标轴本身\n","                , horizontalalignment='right' #位于坐标轴的什么方向\n","               )\n","\n","plt.tight_layout()\n","plt.show()"],"execution_count":1,"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAUAAAAD4CAYAAACdfj8GAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngOjhjUHXVi1H3RY4DZa64U/kQwcxqsCOs9gEEcQMyt49QR2A9foNyH39LYg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tHYNulUr/dapgKt+A5z9z8cycRJUMde0mhEglj6gpqQErDtTEp9+DMOC+V5l0rE8Ep97CseQi8u1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\nEjhaOvVOfv0l+PZb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vt60mX8YW0VxHpbBCL3058vzkTJ6NIRJRFMRHA8/Rs6c+RQ8/Sz5z48j549FuBNo54gkQf/HPYz8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\nFWdra4sEg0HaGZpkMhnidDpJ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13iQLf4Jru4FOk37i+QWKyyfzEP7cYXfceXQQWzvvFW5m8oyjuF3YCT7LhdtJCbhvPV2v/0jhNLF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\n2SQ++zTK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ZKTcHGoMHIC2ZbPfJdqW37HOmYXrxltOHnS7SXr0QSzfLoCsI9SsVQtP737k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\nxoPr9OOghgAAAABJRU5ErkJggg==\n","text/plain":["<matplotlib.figure.Figure 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9dwpXD08u9RDBji8M4vUBcufiyYYmqZx8eQxmhsbAHByMTNmUuoz8bW1NjdxdM9WsrPWUXrhDN/8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\n6tTbnPhwFl/40a9Qq0eX5VGQe8PtdFJ8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yqmTBciCQGSIkW++8nKP+OroaEdp7j9nMiI1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44DVd0qhQFAV/7SdxuNzqdol+p8NFl529eImvgIEb9pbzLVKNE+5FXaa7aOicpSQofDzIj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4rVP32jXV0hAcNiEfraXak7hFxhMRNzNgUeRcYmU795KYGg4eqPpjq6TuGARistFY101ILFo2eqH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\nFkIIIYQQ1zQJiIUQQgghxDXt/wPXi48p9Vn63AAAAABJRU5ErkJggg==\n","text/plain":["<matplotlib.figure.Figure at 0x7fc29c214390>"]},"metadata":{"tags":[]}}]},{"metadata":{"id":"xWSjbFkok4-c","colab_type":"code","colab":{}},"cell_type":"code","source":["import numpy as np\n","import matplotlib.pyplot as plt\n","from sklearn import svm\n","from sklearn.datasets import make_blobs"],"execution_count":0,"outputs":[]},{"metadata":{"id":"_mB1cdTnk4-e","colab_type":"code","colab":{}},"cell_type":"code","source":["class_1 = 500 #类别1有500个样本，10：1\n","class_2 = 50 #类别2只有50个\n","centers = [[0.0, 0.0], [2.0, 2.0]] #设定两个类别的中心\n","clusters_std = [1.5, 0.5] #设定两个类别的方差，通常来说，样本量比较大的类别会更加松散\n","X, y = make_blobs(n_samples=[class_1, class_2],\n","                  centers=centers,\n","                  cluster_std=clusters_std,\n","                  random_state=0, shuffle=False)"],"execution_count":0,"outputs":[]},{"metadata":{"id":"shSIeeLzk4-h","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":34},"outputId":"73351f27-fe93-4963-d8f2-bb7ed9fa5f70","executionInfo":{"status":"ok","timestamp":1546735216790,"user_tz":-480,"elapsed":823,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["X.shape"],"execution_count":4,"outputs":[{"output_type":"execute_result","data":{"text/plain":["(550, 2)"]},"metadata":{"tags":[]},"execution_count":4}]},{"metadata":{"id":"SDhdzfick4-m","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":347},"outputId":"bfd77df7-73c5-4dbe-c148-d94b17713de6","executionInfo":{"status":"ok","timestamp":1546735219261,"user_tz":-480,"elapsed":1078,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["#看看数据集长什么样\n","plt.scatter(X[:, 0], X[:, 1], c=y, cmap=\"rainbow\",s=10)\n","plt.show()\n","#其中红色点是少数类，紫色点是多数类"],"execution_count":5,"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAd8AAAFKCAYAAABcq1WoAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nMXr1xurWrYF7I2kIpPh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t2Yz/2uux+varVRv8d92L2b0noriI4BVX1+g9wWlXloYqNQcK\n3vkQ7wfvog8dXiFGWVI1dRbfOXPmkJuby7333lv6u2effZZOnTqFpWGSlscZD0NeRhB/jmDojKoH\n4d7TTKD6AdS24ac/ucndqdDzEoO+V1Y0VR1ZpWKbgmC+IP1HjV6X1X1QVl0w7g9OmxMS3ZWacWvL\nqr+5WfOCG6HA6N8HGXJHM3NOChOKRkVTbJiJbk+VpuZwYnZIwlZVhGlixTmuzfF9bc5+ofKJnfub\n2cT85j5EwI+2+AeW/mI5ncaYxPev+fQtNPni2je0mQgvgB3XBv8ddzd1M1ocdRbfq666iquukiWr\nJGWoLjjtifAMkDs/0Vj/shtsQfYWhZSLjQrm4C5nmmRvUnHF2JxybvPaRwLIXKtghZxBMmONCrRO\n8W1NBK+7AVFYiJaWiu/GW054vLo3FRFwtldCu3P48SGNiI4eJr/nIyEcmagkrRaZ4UrSLFE8IFSw\nDSeDEpVM9Ef9LkSvy3U8MVSaLKGp6XqeweGVKkKlWU4OJJUgBIE77qrx4f4bb8G1Yjlibxqr0qZj\n6S6KD0P6Mo2EgU072RLZ2XhnfeSkjxw6vEnbIqmIFF9JsyRlikHe7hBHtymkTNWrdORp27P5ie4x\nBt5o0ONCEyHCNznI2SbI2qjQ6zKzXGUhSUUOLlVJX6LS/UKd9oMb6DmJiKDg7Q+wbci4y4N7rkVc\nikWvafUUXl1Hyc7C6pAESh0qClkWcddfhWvNKsz27Sl472OMIcPq1yZJWJHiK2mWCAEjH6iZCTtn\nm7Pn2/syvc4pFqvjwGKVre+6iOlqMfbRUK1q3kZ1CN+gnzZPZe6NXixd8NMTNtNXFuNqBnl3myN5\newTf3e7Fn6mw61ONK+b78MSe+H11RQg4+6Ug+sZduDpGIRLqkXmqqJC4ay5H27AeffyZTnKJWiaW\nEMVFKKm7AVAzM9FWLJfi28yQRRolLZqcHYLZ10aw9GEvs6+NwKrCumsZsPNTjayNtXNUsW1Y+piH\nPV+6WP+Sm81vOctNvRj82Y3r9LL3WxVLVwCBP1shdY6cO5diWU72oxJydyn4M53hrTBdaZTPKuqZ\nP9PpohHEnzOGuPMn0Oa88Xg+fK/W5/HMm4t7xU8oAT/uBd+j7N9X63PYMbGEJk/BjI9HHzma4FXX\n1PockoZFiq+kRXP4J43idGdVkLtTJZBb+SD7/V0evr89gi+viCRtXi0zrZVG1ggsAw4tV5l5ViTv\nj4lk1V+ryIzUAPS61ECozkpai7ToOKaid3f2FsHi33rY8Jrr+GRKtWLj6xpzb/Sy6b8tQ9y1ZUtp\ne+YY2o4eguej9wE45TyTlKkh4nqY9LtWJ657+CwQWZsFix7wsPbF4+6xbeNevAARDKBmZOBetxbX\nhvVEvPpSteeqjNCYcRg9egJOHLDVsW4RJEV/f5GjqzeTN3sedpu2tXuzbSMyMiDUvEtEtmRaxrdL\nclJxZLXCwSUaKRfrtEmpftCxoampAAAgAElEQVRMuVRn5ycaR3cqnHKOQURC5cfnbHYEN5ircGi5\nWuNEHELAmEeDbH3PRUxnm4E36fz4BzcFac759s7TGPmbEw9QeXsFix/0ohfBiPtDdDu/9mFRQgHF\nC2axs4dcWZKShfd6ydqgITSbhM6QXMtUj9lbBMuf9GL4BQcWaXQ5q5g23cInXEYAQgUirA5y3g/f\nR9ux3Xn98YcEr74ORYWJr9Uw7tvnQ+ihGpeoW/yAl8x1Gig2ke48Rs+7GjUtDattG2whsD0eRCCA\nAOy2P9sHKS5GObAfq3OXKsOF7E7J5H/8Oa4fFhK6cIqTM7muRFWedvRERN91G56vv8LsmUL+B59g\nd0iqexsklSLFV9KsyN0t+PamCIqPKOz6n8bl3/rKZZ/6Od44mPql3ynu3qbq8Meu5xgUHFCITrLo\neXHtnGG6X2DS/YIysUwaYbJ9po1eKEjoVzMRXf+ym/Qlztdt3b+g2/m1T8GYu0vBLHY6GMwXGH5Q\nj1t42zYES6r32Iag8FCtLwF22Q20bU4Ujl0rcrYL5t0SQdFBhX7XhTj9yfqvqmwbcj298SoqwjIx\nu3Wv1fu1HxYR88A9iMJCfHffR2BGWbJxcSgdz3dzoagI9cgR/L+4CSulF6HCkntkCRLmv4l7yWLn\nZz1I/tsfYCV3wfXTj6gH9uG/5Y7S8yk7tsMtN9AuNZXAFddQ9PyLVbbL6noKwem/rFVfwkZxMe4F\n36H4ilE2bcD76Sz8tfAAl9QMKb6SZkXWRpXiI85uSP5eBX+OwBVV+Spp/SsuMter9LhQJ+WS6lXi\ntCdCDL5dxxNj19tJqddlJtHJPgr2K/S6rGYhRMeX3/O2q9uqr981BgeX6ORsVcCGuTd7GfFrneQz\nnL4LAcPuDrHtfRfRyTZj7nWRV1S7ayScajHqt0HSl6t0PsMon3qxnuz+zEXuDsdikDZPC4v4Ln/S\nzfr3H2WQuwenXpRJ3HM31ur9ni/+h7YvzXn9zexS8RV5ubS5cirazh3YOJFu2qoV5M9dwPD7Qmx5\nx0V0R5v2lw/AWhODUliI2akz+vkXghCYAyuWFvR89Tls344A3IsXODOHmibLsG1EYQF2TGzDJ9iI\njMTs0w912VLMjh0JnV6DghGSWiPFV9Ks6DnZYNd5OtmbFTqfaRLTpfLBf/8ClRVPezCDgkPLVLpM\nKMYTV+mhpUR3DJ+QdBxt0XF0zVNGjngghOqBYC4Mu6duoqO64YI3AvzwkJvNb3rI36NiG4LkM8pW\n0f2nG/Sf7kwIXBEuqKX4AgyZoTNkRvXWgcBRWPKIByMgGPmbIAk1yOjUaZzJlrctAkcV2vUNT7pN\nJ8uZwgZzOkFXiLO12qUYNQYPw/7kYwj4MY9LDalt2Yy2cwdQFmKuHM0B26bPFQZ9rnDuscXZFPz7\nTbR1awlcd0O1wqifcSa88yYcOYJx6sCai6iuE3vjdY7H8rDhFLz3MbhqHmdm6rDqOTeBo4Jhd4eI\nPdE2ghDkv/cx3s8+ITRqDFaf2qXMlNQMKb6SBiHtO5WsDSr9p+uobpsds1wkjzNIOLX6L77qgcnv\nB7Atqg3pMQOUejZbulMuLhwUZwq2vw5RvVW6nBk+m6uiwvBfh8d55fiSdg1RBMIMweLfeihKFwy4\nQafnxRXvw4pn3Oz6n2PzNgNw0YeBE563y5kmF830k71Foc+08CQd6TzeIHO9iivKpus5tT9n8Orr\ncP20FJGXT/FjT5T+Xh8xiuD4CbhWLMeOjsJK6lS5uFoWSlYW5sBB2J2Sq72WMXosLFpEwaIfCV50\nSY3bqK1fh2feXADUhfNxz/yA0PRf1Pj9a553s/YfTrL1woMKF8+swZZHdDSB62tnRZDUDim+krCz\nf4HKd7dHoBcK9s1XEUDGGo2ojhaTP/CRMODEq6QTxdJ2m2QyZEaI7E0K3S4w6hXfW7BPEDgqSBhs\nMfdGLxmrwB3n5fz/BCoti9jUjPxtCMty9n3DJejHs/E1F9s/cIS1+LBCz4srln08/vMJ5NXcDNp+\nsEX7weErMjHyQZ1elxm4ouoWUx315ONE/O8T54eHHqTwlTec1x4PBTM/cxJdJCRWGWcb9dCDRLz1\nBng8FD32JwK33lHpcaX06UOwXe28l83evbFdLoTuWCO07VupzaceKih7rYe3smujYdtwYKGCOxaS\nRrSOIiVSfCVhJ2uzgl7ilFJ0UGD4ndfFhxUO/aSRMKD+afeEgLGP1l94UueoLLrfS7BAMPCmEIUH\nHFUJ5StkrVfCJr6b39LY8Kobbzubc14K0KZH3U3gqrusCERDoEUCJTudShWRVIPv0Nn2oQvTr5Cf\nqpC/TxB3SnjM+lkbFYTi7D/XhPrcS5GTU/Y6L7f8H1XVyTBVDdpOZw+XYBBt08Y6tUHJOIIVGwcR\nlZsx7Lg2hM4Yj2fBfMzYOPSzz63V+YfdG6LwoEKoQNR5y6OpWf6km/Uvu1HdcNqfAgz4RctP1yrF\nVxJ2Blyvc2ChRuF+Qco0A98hwd5vNdr2suhdknav6LAgd5cgeZyF0oRP4YFFGoGjjuAeWa3Se5rO\nni88RHcx6H99+HLzbn3XTX6qSn4qbH7TFRZno4bi1F/q+LMEBfsVBtxQeTv1YlFaNCKYKyjcHx7x\nXf8vF8uf8aAoMPrhIINva9j8yL4Zv0Y9lA56CN+Me0/8hp8RvORS1N27sCMjCU67otbvj3roQbwf\nvY/VuTP5b7xTZUnCgnc/xvPpJ5h9+2EMHlqra0QmwKS3TrwtoPtg3b/cRLS1OfUmvVaZ3BqazPVO\nBTPDD4dXalJ8JZLK8LaFqZ/5S505bRuC+UHcMc7eZ+YGwdxfRlCUrtLzYp3z/3PigaGh6HqWwZ4v\nNYIFgo6jTcY9HmLKPz1k59Q+FKg6ojpZZG9SES6btiknXtHZFuybrxKTbNWqPF04EIpTtKI64vtZ\n9J+uc+gnlfbDTJJPq78pMJAPa190YwUFFnB4udrg4mv1H0D+Z1/X+f2BG28hcOW1oGngqaKIdTW4\n589zQnp27sDz5Wf4q6oH7HIRvOraOrezJiy818vuz10gbEKFguH3NZ8J4ilnG2SuU9EibLpNbB3V\nwaT4lmCZsP5lF6ECwdB7QnhimrpFzZvMDYKt77pp09Ni8O16pY6bx34nhFO4/Bj7v3dRVJKVKmOt\nUquIi3DTfZJJ/EAfgRxRuhfZEDP+c18OsPHfFjFdLPpedeJZ++LfeNj6rgtPnM2E5wP0vKh+5u/1\nL7vI3KDSc7JOzyn1N6ULAWf+tXaexSdi69uuUisE2HQ6rfr7tH+hyvYPXbRJsRj5m1DdnyGfD/XA\nfsyeKY6I1pYaJLIQWVng9UBi+YHF7NcfbV8aZnwC+pjTan/tMFJ8pOQG2oKCA82nXjA4Hvgplxmo\nboiIb77FVGqDFN8SVv3VzZq/OzPX/H0K57/WdKuxlsCi+yOclZxq42lr0+/qqgfKzA2Cre+4ietp\nMeQOnW4X6Gz7UKNwv0LHMWaT1wWP7WwT27lhv9CemNoVg89c79RRDOY7oVT1Ed/981VW/MUJyzq8\nXKXLWcW4m+HkMuFUC1eMk7wk/lSTgTdX/UzZFix9xEPebhUUm5guFv2uqb0pUhw9StyVl6Bt3EDo\nnPOcMJ5aFjE4EREvPk/kP/+OHRUNr78GI8viZgveeAfP/z7GGDAQc9BgbBsW3ush/UeVDsNMzn0l\n6JTUbAROvSlEMF+gRdoMvLn5rHqPEc5QweaAFN8SSmd9QKCRE+a3NGwbQiXxo7Yp8GdVf7+OF2pv\nO0eor/jOSVKROLByc2VeqmDHTBcdhps1TgXZmugywSB3l4K3rVUuu1ZN2P2FypE1KmNuAa0L6P6y\nsCwzRJXFJ2rCgR9UVjzpRmhw2p+DJA0Pn+dp17NNznvFT9ZGJ0StukmZbR/XD0uw42ONlEsMXJG1\nu6Z77te4Nm5wXv+4BOXIYazkznXrQFXXmPcNSn4+5OfDZ5+VE1/cboLXTC/98eh2he0zXWAJCver\n9L1ap+vZjePd22uqSa+pLdQdugUixbeEwbeFyE9V0P2Cwbc1v1lfU2H4YfXzbidO9V4nUYQQTqKI\n7R+4iO5sMeiWqvdgqhJqb1vwtq18ULFM+PaWCHI2qbhjLS54K0Dn01uvAFsmrHzGTXGG8+wlDLAZ\n+1iI/jfoeOLscib7E5G+VGHhfRHoRYJDi2Had9BjssmQO0Nkb1boPsnAW8sc+8ez8d8uMtc7w8bG\n12yS/h1eC1G3iZVPtnQ/bHrDRds+Fp3PMFFUGP37IEsf9eDPUjn0o4vlT1qc8XTtvruhCWdjpPRC\n270LffBQrPYdwtWVUowBg3CtXIEdEYkyenS1x0Z1tIjpbFG4XyUqyTphbnNJy0WKbwnx/Wwu/TK8\nTjatgR9+7ymN+QzkwvhnnMGt/3UG/a+rfgl1bPV6ynkGWettYo4Tal8m/PgnDxkrVaI62AyZESpd\n4ZkBKD7kiHSoQOHoNqVVi+/6l12lSRDyUxUum+08h3XxHs7bq6AXlYR2ZTqFDDxuGP1wKCzmy4jj\n0mRGdmi8eMtZV8POL724Ym3O+aefHhea9LrUZMfHFvvnOx3Ti2tvsbI7JZP3+Tdoq1agTzi7Vpmj\nakrxX/6KPu40rIRE2l4yCbIKS/9m6rDxujWY+3Nw3TiJwbeZXPCmn73fuOhylkFsVym+rRUpvpJq\nCeSUDWj+nJp7IlkmfPurCHI2O6vXSe/4SR5XNlgvfbTEsxIoSAPdL+h+gWPyckVBv+t09nyl0aan\nRb/rWod3Y1UcE0sAI1i/LY++Vxmk/6BzdJfCwCtUzCB8elEEhQcEvS83GPtY/aw6458JEt3JRnHD\n0BmNZyHKcTI9ohcIMtaq9LjQmYyNfDCIbTqZ0UbcX7f22O3bo0++OFxNrYgQhKZcWumfcu9+jzMX\n/QYXftb+5S7MXz5J4iCbxEHS+tbakeIrqZYhd+oEjgpQYMgdNfduNf3lV685W9Ry4mv87FSuyPIz\n/LGPhsKSRKMlMOyeEAX7BL5sweBb6zfRUN0w8XXHFJyYGMPcR9wcWel8zXf+D8Y8EqqXN7fmhVG/\nbfzPZcAVsPJVi6gONn2uKLtHHYbbXPxxy3WOjM9ajodiAJLsdQgNvP99Hfec2Rj9B+L7458RRYUQ\n0rHj45u4tZJwIsVXUi2dxppc9nXtzfGuaOg3XSd1tkZcj4qr11G/C2KFID9NIWGAxYgHwxu20hxY\n9y8XW952Edne5rzXAsR0qtyE6IqC814Nb/9NHb68BQ6s1FC9FmZAIaaL3SBhVGYIitIF0Z1t1PBb\nbQE468/Q5+ZiVC+N5v3bGLhvm0xg4/coviLUq89DLcwl8rm/oOZk416yGFsVRHw6C3w+fPf9hoAs\n7ddqkOIraTCqW70m9LdrlIy/JbPtfRcFaSoFabDlLRdjHm68FePG112sewNAJaqjyYBfBqvMVlUf\ndB98dVUEGatVOo01uehDP2rtc02ckLx9sOyPHrztbEb+JtSkWdHCiT5xEsbqsRAIonXoAEWFZck6\nXC60jRucDFyAZ943dRJf2wZfhsDb1m6Qz0ZSN1rJIyxpjeTtFcyf4cWfIxh0S4hBvwp/Srm8VMGi\nB7yEigTD7w3Sc7KJbcOyJ9zk7lJIuaSsfFxtie5kk7cbVK9Nu76N6zDmisKphWeDt53jqd4Q8dSH\nVygcWeEMI+lLNXK2K7QfbJH2vcrmN1xEdrA587lgvQf92bfDnrmO459Qm8b03VDYcW2gpBymHR1D\n0VPP4vn6S/RBQ8DjxbNyBQQDGANOrdP5F97rYdfnLtr0cHwvYqso0ylpXFqd+Jo6/PRnN74MhcG3\nBekwTD5oLZUtb7nIWO08otvedzeI+G54xc2hH0tCZ15103Oyn43vwfqX3WALsrco9LzIqFC6L3uL\noPCAQreJZpWm3Imv+dn0ppu2vU1SwpBVqjYMuEFHFHk5tEVnwPXVx8zWh/ZDLdr1MTm6QyVhoFma\nOnPl0x6yNzv24dhT7Do7Qx0jVOYgTDC/XqeqNWnfqWz+r4voTjZnPB1EraLYRLgITZ5CaPKU0p+N\nlF4ouUcJXTy11ucyddg3X8P0C3K2qOz+XGPY3a3bgbGl0OrEd/2/3Gx8taR25QHBtDkyfKil0raX\nheK2sUKC6E4NE9YSlWRzrIKPt50zUVPdTopJ2wRFqZhuMnWOysJ7vQTzBH2v1Tn7hSB6Meg+QeRx\noTjedrXLahVOhIAJf4SsrJqZ9oszBEt+5yFUDCPu1+k0tmaTBW8bmPKpj/SlGl0mOKX9AISr7D6o\nnvpPgMc/Cgv/bOCOtRl+b+Pe0+VPeTi6tWwiMezuxr2+ccaZdX6v6oL4vhYHMxUiO1gkn9Z6Q/Za\nGi1OfG0btn+osSUPUq6nQg5m87jvRX0y+bR29i1Q2TnLRXw/s9nOhPtPN1C9fgr3qQy8tWEGvOH3\nhVC9Nv4cUTqoDrgS9q8NcXS7QspUvYLJ9NAylWCeo8hZG1QOr1JKzOMKg34VYvTvW55JdPXfXaTO\ncbylLBOmflpxkLZMWPuCG18WDLlDJ/YUG8MPC+/zkrdbIXuLUrrHf8ZTQTa+YRPd0cn9XV9SLoC4\n4U0zkT7ewUtxtTxL2qR3/Oz6VKPDCJP4vi2v/a2VFie+m9508eNjHmwD0n7yMvnd8jP7YXeHKEoX\n+LJEg1dEaamYIVjykIeCNJXdLo3YrhYplzTPGXGfy02g4domFBg6o/xzIkT1K9buF5qkzjHxZyt0\nmWCw5wuNgjRnhN73ndbsxdcyHWcwb7xFz8nOvT0+LaMWUbmNev3LLlY+68xE8narTJnlZ+v7LvbN\nc0R723uC4feGcEc7Bc+TRjSuQ53hh5XPubEtGPkbpx0/xzJhx8caUUk2Xc+q2XN1+pNBx+ycXH02\nt+aKK9KZyEqaFy1OfAtSBbbhDA6+IxU327QIOPsfrS9sJZzYVpmFwNYhVIfMQC0V2wJ/jmNirmvI\nSvI4k6sW+gjkOTVsd3+psu1DpyBAu37NcxJzPIsf9LDtfTeK26boD0EG36oz+qEQtgWhAsHwKvZn\n/cflPD+2Bxvfz8QdaxEqUIjqaFfYG29MfnzczZa3nMlB4KjgnBcrjgPH+q5F2Jz+VKBGotRprFlj\nM7xEUlNanPieeqNOxnoVo0BrkNCJk4FjiRJ2feYUuK+uIlFrwtTh80ucIg8dRppc9IEfzVu3c3ni\nwBPnmPBSpphEdfJRkKbQ69Lmfy/z9jiTViskyNnqvFY9cNoT1X+fht4dIi9VIZgnGHKHc2zyaRbn\nvBwgc7VKnyv1Jo3BDeaXTcZDBZVPKI/ucI4x/IKs9So08xXhkdUKPzzkxQzAqN8Gw1IOUtI8aHHi\n2ybFZtrXfhITY8jKat5fnOZMv2sN+l17ct2/jW9opd7Th5ZqHPpJoetZ4XHk6jjCouOIxst1fCKC\nhfDpA1CQ4WXY3SE6ji5rW8qlOgX7BK5I6H15zZ+ByARKt3myNgtW/93NKefqdJ9o0r0ZVJ4adk+Q\nQA5YhmDYPZVbv3pMNsjfq+COsek5tXk//zs+UVn3ooej250ZzZZ3XVJ8WxEtTnwlkrpSeKBsZaS4\n7SrLGbYGVv/NzaZ3AVzohYKJbwQoShckDrYYeKNBv2sMFI06Javw58DcX0ZQuF9l63sa077xE9Wh\n6R15EgbYTJlV/T7z0Bk6/afrqG5qbSK3bUibq6JF2nQ5s2GfnV2fqiy6PwIzWBKsjWh19WxPdhog\n2ZxE0jzpd7VOzCkmqtei37UhIhIqP073Q+Z6BaOWzrWb/qsx/x4PafOaPv/h8WkedR/MmhjBrPMj\nWfBrZ09U89ZNeAEK9ikU7neGjqKDKvl7WpbPgCeu9sILsPxJN3NvimDO9ZFseK2B8miWkLtbLRFe\n8MbbjHk0yJl/k74srQm58m0FmEHI2arQtrdVGmf5c4ozBD/+wYMRcPIqJ/Q/+WbRiYNsrlniw/A5\nMbiVofvgnSlwcHkUHYYbTPmfv0YF2g8sVlj2uBczIEhfqpI8zoerEm/bxmLEgyFUy0PeYR0twmLb\ne47oHllZ84mBZTo5m6M6lE9L2H6IRcqlOodXqiQNt0ga3XotCMeTvUnBNgWmCZnrVKDhPJ8H/SrE\nkZUqxYcF/a7XGRKGcC1J80KKbwvHDMFXV0dw6EeNhEEGUz7xV1osfeWzbnZ/5szWbQMmv1+1eW7P\nVyqpc1y0H2I263CtvFTBvnka3S4wiOtWs8mE5qVaJ6us9QoHlzuvM9ZoZG1U6DTmxOISyFUwSxYm\nRrHA1KGua6PMDYIlv3eEfNTvgnQ7v+b7fEYA/FmC6GSbC190kmwcXqGw73sXviOCDsNrdi7LhG9u\n8HJgkUbCQJOLZvrxlqRAFApM/HcQ26ZembP2fa+y63MXCQNMhtzRfJ+zY3Q73yBzg4rqhu4XNGx7\nve1gyiyZIKg1I8W3hVNwQHDoJ2c1k71R4+APGimXVHQkUbQycRLHfepmEJY/7S4NMfHE2Sx5xIvv\niELq1xrt+poNvr9VF/w58PW1EeSnqmx522TaXB+euPqfN3GQRcdhcHgtJAw2SDy1Yt+3f6KRuVql\n5yUGyeMcMUu5xCBjVYjsrSrdLzAqnQDVlI2vu0sdwza+4aogvmbISSCz6zONDsPLEicUZwhmXxNB\n7k6F7ucbXPeFc3zH0RbT5vooSBM1mkiAUw7ywCINSxdkrtVIm6vR9yqDw8sV0pdr9L5Mr1eh92VP\nuNn4mhtLF+xyacR1s+g+qfKJge6D7B1gxdbdVF7ZOTVvxexl1THwZoOUqSaKZoflWZOc3EjxrSUH\nflBZ+awb1Q1nPB0gvl/Tmm9jO9skjTA5slKjXT+T5NMd4c3apKBF2LRNcdo35tEQtiEwgk4CgmOs\neMbNhlccm6IvU+GcF/1YJSs4Sy9f6L05cXS7Qn6qM+nI26NydIeC6oLYbla9hM8VDb9YBJvnFpM0\nwqpgOk5fprDkt170YsH+BSpXLfbhinRWgP2u11l4n8qWd1x44mz61jGE63jHmsj2Za8tE+b9ysuR\nlSqWBYEcJ2XgpLf9dBhmsftzjZySfMoHflDL5UCO6WRXKGl4dKfgh5K+jHggSPcLysQvItEmsoNF\n0UGV2G4myaebZG0UzL05An+Wwp4vNS6f66tTnuP8fYJNbzjCC06sebCK0CBfFsy+OpLszXDKeV4u\nfCdQ77KIy/7kZvtHLqI7WVzwnwCxp9T8OxwRH/7vu23Bqr+6KUwXDLw5RPvBDTOm5KUKfnzUi6nb\njP597fLeF2cIdn+u0XmCQXyfk2/LqiGQ4ltL1v/LRcYq57at+5ebc1+qmxPE/oUqm990kdAThj9C\nneugqh64+GM/R1YqJA618MbB6v9zseYFD4obTn8yQL9rDDyxMOHvFduq+8peGwEbbzsY8dsg+77V\nSBho0f3C5hnakDTSous5OhlrVTqONNnwbxepX7mIPcURo/h67Gl7YqDrhMpXiEXpCnpJUpJAnsDw\nC1yRzrU2v+kmc43zbGx520Xfqw3S5qnkbFMZ8MtQqdn2RIx6KISnjY1eLMrlEc5cr5D6dfkHxZeh\nkP6jSodhFl0mGER2MvEdUsGCPd9B+wlVX2fDq24OLXPau+gBDxvfsBh4k06PC03Wv+ym6KCjcm17\nWcQk2+z7XsOf5fyuYJ9CqMAxry9+0EuoyKmcVJOsUZ4YG287m+LDAqHa9LxEr7Jy1N45GtmbnAlF\n+lINX5aot2f1ni81AtkKgWyF7TNdTV4hacPrLlb/nxsQ5O1SmPZNw5ib1zzvZt/3zuetuqvfejoe\nI+BYmbI3qUR3Mbnkf/4ab/NIqkaKby3xti176OozC/7pTx5ytqikAVq8u87J2re+r7H3G0coO5/p\nnCP9J8dT0gzCwSUa/a6pegU24n4dX4aCXpJQH2DQzQaDbm7eMZCqGyZ/EEAvAi0S3h0WCQgK9qns\nnecivn/DDKi9LjM49GOInO0K3SYa5Z6BuG4WKDZYgqiONqlzVObPiEAvFqQvUWu8h6eoFVNeArTp\naRHX3SR/r4oWZWEagnYpFikl8art+th0n2iw5S2VUKHC0qfhsglVX+d4EfNnqaRnqQRyFHpc6KPo\noMCpSViWsKLPFQZ7Zxsc3Sk4ZaKJN95mycNu9n3nDCNrgK5nnbiP3nZw1j8CpH2rkTzOoOfFJqlz\nVLI2qfS/Xi+3Qu9ylklcD5P8VJXEwWaF79z6l10cWKTSYbjFqN/V7DNv08OmcD+44yySRjT95FIv\nLLvXur/hLE2uqLJ7VxMnwmP4swW5O0u82w+oHFmhEteteY8PLQEpvrVk/F+DpWn0ht9X9wFeHOd0\nKpS6iXgwH1Y87cGfpbB/gU37QSbdJ5kkj3PM0Krbpsv46r8kUR1sJr3VMovaCwHuksIaHYZbpM5W\nie5scsq5dXOGsUxnxdouCTpNqtyZSFHhrBcqt3YMvkPHFWPjy1AYckeItS+5S1fJBfvrP6h628Ck\nd/2kfatxyrkG3nbgbVPeEzmuR1mVJnds9ecb8WAILdLmwEKV9KUaINC8zrM48NYQh1aoBHIEnUue\nIVckXPyJH9sq2ys9fu/z57mUgwWw9FEPhs8xax+/RdN1gknXCY7wpc1TmX9nBLpPcHCRWm7lF9vV\nZurnfvy7ookb5i+351uwX7DyOef86ctsks8wSB5X/Z72gR9UCtMF3nYmA28K0fXsphffoTNC5KUK\nfBmCU29qOEeusX8IobqpsPV0IqI72XQ73+DAYpX4/hY9LpLCGw6k+NYSTwyMe7z+q6rTngiy6U0X\n7VNctfIozt8rSF+m0nOKAaJsEBRKmaCPuF+n+ySnBm1rMw9lbhAsf9KDosK4J4K0K9l/mvhagMMr\nQrRJsetsllzysIct/3WDAiMfdNe6HKAQMOD6soGp/3Sdg4tVig4L+lwZngGrXW8bV6TBhldcRHWy\nGXJn+Wdn8K06hk9QfLOuzKsAACAASURBVEgw4RE3x9+JYCGkL1XpNNrE286ZSAy7W2foDJ2Vz7kp\nShcM/NWxpN/OiieYq7DtQxeDbtVLhfb4PdcRDzjHB3Jh2K/Lt2XFX9zs+MjZFM5Yo9BprMXw+4K0\n7VX+88nZqqL7nMlJ0WFRTtzBKfvYbSBkZZW/F4obVLeN4RMoWvWrOVOHOdc73ttYzrWOrNGAun8u\nlgkL7vGQtUGl83iT058K1sn7W4uA815u+BheVySc9qfaj11CgYmvBwgVOJPd+u65Sxyk+DYRyaeZ\nJJ9mkpjoqjCoVEXuLsFXV0dQdEBl+4cGU7/wM+6PQVLnaCQONOl2XIq/pnYEayjW/N3DwcXOvqen\nDZz3qrNqVzQnz3B9KNhbMnJakLe7/iNMTLLNtDl+LJOw5jxecK+X9B80EDaKRrnJm1AoLVyfkOgu\nfbYMP3x1eQSZ6xzHvKlf+PC2KXvP6IfKD8oF+xSCuc798GcpBHJFaS7r41FdFd9bynGHF6Wr7Jyl\nEsgVXPRhedP0gBtDpC9VKdjvTFJqOrhHJ9mc/lSQ/fM1kkYbtB9S8fO3LWfPMnW2xoEF5ffLa+No\nVRlp81R2fuJMLvLTFAbdGmp1k91jCIH08A4zUnxbEAeXaBQdcEbxo9ucwbH3NIPe05qPGejAYpXd\nX2i0H2Iy4Ibwt8sVfdy+VVR4B7o+V5Xk/Y1Q6XtN+VWcbTvl6rI3KfS4yKiyGMX2jzSyNyv0uVon\n8VSnfeEuNnBMFLEFRYcEWRsVIhJsojtVfT/yUhUy1zlf96PbVI6sVMtN1n5Ot4kmfa/RnVXdmTWP\noz6e0Q+HCBUJ9nypYQZKChoEKp7HG1f3mNY+VxhVOmsVHhLM/aWXwoMKXc400KJsjJJtgLgUgzOe\nrt9qs00PC2/8/7N33oFVVucf/5x33JE9SAJhBAiEvUFkiALugRV3tbXWXXerttr+2lq7tHZaR7Wt\nWrfYKm6GDBURVHaYCSuL7H3Xu35/vCGD7OTeJMD9/OM15N68657vOc95nu9j4iuViOxv4ko4MYU3\nTGgIi287+CrhkztceIsEE25sPSuzJ0hfpLHndYXSXTKDz7ATXvoSmgfW3Oek+pDM3rcsogd7O9wz\ntaPM/Y0fR4yF5rGzjZfd7KDqkIwkwexf+ps0EDiKZcGe1xUkh50w1VpoMONSnRHf0klOjqaktOlx\n7/9QZtNfHVi6oHizzPDz7QzyxhxYJrP2AdscI/dzhStXeUISopt8h59tzzhwJYDugbfOjcAZZ7Hg\nL75WBTV+hEnqbJ38L2SSpxr19cmtIaTut+Z0xsCMHwbYu6RhxTlonv13s9+VObhSIXWW0WZCYHfY\n87pK8RZ7iCv4Uubs57zsfkXFPcBk9kOBbtcMJ4yyOPNJH3nrZIad1/x5CBOmLcLi2w5bn3JwaJk9\neGz+u+hV8Y3oB5e878VbapdbdMddKBTo/qOZm2DUOS0FG1cczPtdgJemR9b5C9vJRQBb/2ExYGbz\n5LEvHnaw9WkHQoKK/QFOaSPZRJJb3tOS5Po/A3LLyVhVByUMn/0P/jKBqdOlOtj2yLjEIOMSe6W4\n5KwILF3gKxFsedpB9WGdcdc3b+13tCStIlsidpjZxOVLq4WPb3BTeUCQfpHOrJ8FL1M8aqBFylSD\nwm8U4jMMxlyj4ykSrP2JC1+JxP73LfqN85A0MfhGLinTDJxxJv4KidjhFkPPNBh6ZnAng0MWGK0m\nbXXXASzMiU1YfNshMsWqLx9pac+rp5Ed9NnuJu54mHpngP0fKSSOMTvVrq6zeEuPvmoY3dz9Wr4u\nFfsksASWAeV7GpS1dLfd03XEt/R2+/oOO9dgxn1+SrbLDL9Qq8+ybsy46zQKNsh2X99LtZAI77Ek\njDEo3i4hOyF/nUz+OoXyLIl5v2++apUdkDimucjtfFklZ5U9FOx6VTD93kCrHuFtcWyiFNiif+Gb\nXnLWKAyYaRCZbFF1WNRnges+mpiBBJPBpxuc96KX4q0yo6/pOfvK2iLB8htdVOcKxlytM+P+AEe+\nktj8tIOEQTDtobYtTsOcHITFtx3GXa+h+6A6RzDh5tB+gbPfk/n6T07UCIvTH/OROK5vimxbTL5d\nY3ILNarBZui5GllvO+oXvmqExaDTWxb7kYt1SndJSDKMXGwf25GvJT6+3o2nUCLrHY0LX7dXzDUF\ngoNvQsKpopl94vR7Ndoy01dccM6/fGz+u0rlAYnSnaJbZh/tse05hex3VWQHRA8xqNhjf52rO1nW\nlDjOxBFjEqiSiKoro+sMvgq7xWDlQcGIb+nM+aW9ctY8sOUpB+4Ei3HXa/WrwJghFtPv8XN4jW2P\nOXBu6OxLU2eZpM4K/udXHhCokU0dyI6y8z8qBV/a92L363ZJ1xcPOzmyUeEAQISj9SS1MCcNYfFt\nByFoVs4RKrb/20Fpph0v3PpPBwv+HG4h1hpnPx3g1Ac1lt/iougbBa1GcHCZQvoFzUOAGZfqpF+o\ng9TgJJb7uYKn0F6mle6SMA07I/j9K9yU7YHYdDeL3/O02nawNTJfVPnyN04wBSWZEpfV1azqPtj2\nnErVIUH0EItJN2ldamvXmNxPFfS6Eh1XrEX8KANTAzXG4pM7XJx6G0SOa/9zBs01OPMpH4WbZEZd\nqXV6n3rXK2q9U9betwSnPmTXk66+20XWUhWEhb9KMPHmAIrb/k5Nu1dj2r19v5lCS2x81MHmJx2o\nURZnPO5j+DEucEkTDNRI26EsenDPbA8ZAVh7v5PqXMHY72iM/Fbv1y+HaZuw+PYhIpKOzqKb+/CG\naU7MENvXumiTjOKClKmtDziNjSgARlyskfU/hcoDEkPmG0gyVGRLlO2xJz+V2TLF2ySGLOjcqslb\nIurrSBv7Yq++18m+/zo4ulQv3ipz7r+6Z26SOssgZ62CEJC+SGfiTTp73lRYfY8LyxCU7YDLVnds\n33Ho2Uab2c9tkTTRRHFZ6D6BJIFUN8GpLWzIyt79msLWf6gkjDK54GVvt9otWhbU5ApciVannJqC\nRe5nMoZPYPgEhz5Rmonv0HMMznrGS0mmzLjr7BXu7F/42fKURfwglWn3BH/Vu+05ld2v2fsctfkS\nIy72hPeb+zhh8Q0hh1bJfPWYA8UN837vqzeEaI35f/YRl27iiLNXRmHaZ86vAgyYaeKMMxnUifBl\n3DCLy5Z58JXbVpAAiWNNhpypcWSDStIUndR23JJaYvJtAcp2S9QeEYz7XsM9rM49upy0R8TqnO6n\nQU/+gcbAuQZCgn513ZcC1QLLOGpVWLcPG+RSp2NJGFVnq4mgtthuOJG20GDc9QF85QLZYVG2V8b0\nC/K/kNj7ttLEjKSzrLrbyb7/qUQPNokeZCKEXds8oIMdm7pL8lSDwm9k1CiLgbNbPo+h5xhNulH1\nn2Fy7vO+TtX1dwZHNCAssASyK5zodTwQFt8QsuUplaJN9iXe8rSDBa3YEh5FjaTD/rRhbITADil3\nAcUNUe6GCZGswgUv+4iUVGoMb5fqc9VIOOefTVe0+96WUSMtIpIN/FUSzliToecHWHW3EyHDrJ/7\n6w0vGnN4tUzOGrsed+AceyAv3SXYs8TutTxikdEsS3j89zRKd0lUHZSYcIXCyltd6D6Yfr+f5Imt\nT/5qCgRfP+5AibQ49aFApxKChGz7a+se+xoqddc04xKDyBQ/2/+pUlNg4fMLIvub9J9hUJ4lqD0i\nGDjH7JRQmAbkrlEwA4LKbJnKbLn+5xf/t+ORBH8VlO+VSJpkdrqpyZyHA/W+3n3FzGbsdzQ8RYKq\nAxJjvxseQ44HwuIbQhq3totoJRO3r6B57HBhV7srnSgICSKT7FZ2wSBnjcyae23f4rgMg+9srkGS\nYfnNLrLfbbjY84/pOFV5UNj15cUS+942uXKVB2ecxYpb3ZTtslddzjgvg+c1DXlKCsz/o/1ZG34e\nbe+5YreHPJpU1hKf/sTJwY/s3xXCFpiO4k60mPsrPweXKXU1xA0TgnU/d1KyzRbItLM1TnnAT+V+\nidX3uvBXCsZfpzHv0Y7nNkgyJI43qD0ioUSa6LV2BMGSBMtvdtkNQn7Udru86lzB+1e5Kd8rM2Sh\nxgWvdK5NoRC0GGUJ1IC/QhA1sOfLAIWg03aoYXqXsPiGkDP+6CN6kIkjhi53LeoJNj+psvUpB854\ni/l/8dF/es+E7xrjLYVv/urAFQdT7+qcAUJ1vmDr0ypRqRaTbtX6VMit8oBU71vsKxOYfpCjwFvW\n8DtadfP31eQJe/8Yex+5tkiguC08xQ37yRX7pGbi25jGEymhtH1R9EatJQNd6OGccZneYmmZ1ehH\nA2aaJE202P26jL/cVrsjmzofXjjveR9Z7+skjjbY86Zqtzb0wd7/2nueBRtk5v/V12LyHcDBjxXK\n99p/98hG2/Kyu316i7YKVtzspqZAYuy1Wrfds8Kc+HRZfH/729+ydetWhBA89NBDTJw4MZjH1StY\nFui1oEQGZ8/EGROcJgyhJmupiqdYwlMMe/+r0H96zx/zmh+6OPBRwyqtM+H3VXc1eB0L2W4uUHFQ\n2CU4LSSuFXwlkfmCg5g0kxn3BepXPbvfUCjYIDPpCkg4tfW/Z1lwaKWM7LAYNM/EW2zXgB+b1AUw\n5hqN3HUylVkS6Rdp9YlGZqMtfaE2P8bU2SZjrtEo/Fpm4ByDxDF2eHb89zSy31OISzcZ822tTSOH\nBb+F2mo/Wq1gejurohn3BcCyQ/HTu9Gt61hO/T8/O55XiRxgMelW+3PTzjTIftfEVy4YNKfzWwbV\nuQJHlEXCaKt+hf75/zUUVQeqJDb/zUH6BS1bVqado7P93wYVWTLJ08wmbUK7yv73VSoP2IJ+eHWI\nN9nDnBB0SXw3btzIoUOHeOONN8jOzuahhx7ijTfeCPax9SiGBsuud3Hka5mUaQbnvuA7aUKwcekG\nxVtkZJcVEqehjuCraFAQT0nnZj6NvY5r8wWbn1T56g9OJIcdDh19jA/zZz9x1TVot4hIshh/vUbR\nFonPHnSh1QhyVsIVa+y+sy3x1WMOvvmr7ZjVb6JB+W6Z6MEmU+8OsO1ZFUyY9YsAA+cYyA4495/N\nw73O6IZzbMmWUIjmoWiAUx4IcMoDAbY8pfLqnAjc/SzOetpH7HALM2BndR9aJbPvLZUhM+D0xzom\npANmmix6K/itJdMWGqQtbLoCHbLA4IrVHnxltJuE2Jiqw4KdLyvsfNmBr0RixCUBzv6HfY1mPhjg\nyNcyRd+0P6TFDLa45H0PpTslBswwg2IBmjrHYOfLts9z0vhwmU+Y9umS+K5fv54zzzwTgPT0dCor\nK6mpqSEqqhv1A71M0WaJg8tttT20QqLwq0CXsl2PRxb8zc+AU02iB5qkBdl+r6NMuSOAGbATlqbe\n3rmV16TbAmz7hwN3osXk2wN8crvLrn/1CHLWKM3E16jXNEGgxn7lK7X3vcFuvad5BS5aFobirRKW\nLrCA0kwJwyso2yXzzZ8c9eHMbc9a9UlSLTH7YR+OWCeKy2LmTzu/0tz9hkpNrkxNLmz+u4PiHRK1\nBRJjrtbIeleh6oBM1lKQEmRGXNz3xCAiySIiqeO/X7IXli52U324YVVZvLXhtRoBl37g5ZWZkVQd\nkqg8IJG3Tm71HrgTWt637SpDzjBY9F8PFftkhl/QdxqdhOm7dEl8S0pKGDeuoXo/ISGB4uLi41p8\n4zNMYocbVO6XiR1uED/65BBesPcGx1/X+dImIwCV+yVi0sxuG0YMPctg6Fld7Gxzmc6oRvuN/U8x\nyPtCQVIhdVbzgfCUH/vJ/E/dHnFdO77BC0wm3hSgaLPM6AsVoge2viIbeq5O4SYZoUBEP5PSnRLu\nfiaxI8x68Y1op6dw/Eh7xdpVogeblO2yoxXeEkHJVvurnPWOglF3K02ta/u3XeXwmkbZ2S00bvCU\nwKo73XhLBRNvCnTKJz17OQ3CW7e9MHBu079hWWAE7Ovur5A48lXL4nt4lUzBlzIjLtGCmq3cb6xF\nv7Enj/CaenD8q00DavMFESlWj1iy9hWCknBlWe0/wPHxEShKcPdCkpJaMNjt8ofBdz+GPe9BxkUy\niSOD+Nnt/elgnkcPYQTg5fPg4CpInQHfWWn/vC+cy/mPwoRv2auh/pOazgo8pZC7HNxRMOcu6D+w\n4dt+yTONf7PhPNY9BoXbYMK3YeT5cMaP4JTr7MxoxS2x7SVInS6RPF5i3WP2gDT3xw5kR+hGkm//\nDzb+HRJHCoSskr8eAlWQNEZm3OWw/TXoNxrm3eXudFj1m2dh97uQOhXOeLhjg2vZflh9B9QWwf6l\ncOsWuxFIY1b+EQ5/Yr/e8aybuT/o+DG5L4ct/4aiHZB+juCsP0C/UQ6EaHqNx10G21+FuKEw6zYn\nsUlNN+LzvoZPbrcT/A4vd3LzNz3vs9wXviPd5dPfwNdPQ/SAaC59HRLSu/Y5pg6vXtQwjlz7MTh6\nYQ3XG/ekS+KbnJxMSUlJ/f8XFRWRlNR2DKm83NPmv3eWpKRoiotbSBPtDnEw4jtgQkgK4VsiJOfR\nAvvekfn6cSeK2+L0x30kT+rejL9sj8TB1RGAIP8r2PJfL6de7w7JueSslclfJ5N+sUa/Dvpdu0bY\n/z32Pn76oIPMN+wB2VOltVgb2vieZC2V+eSnbixdcPgLg6s+9zTkAhjgOQD7v3ByeJPFzAcDjLnF\n/qeyEDULaMyo7ze8PvufMmW7JMZ9V0ONhEEX2efx5b89bHnG9lde8Fdfq/vYR/GVwcoHI/GVSWQv\ns4jM8DLsnPbD1rlbJGqL7Oeh5ojFoZ0e+h3TxEHEqiCcYAmUaJ3i4o5HOpJSolm0tBpPoW3ZiASN\nhqB6pv8fTLzXThwLyM3vf9bnCt5Se0JWkWORt7+23lnOsuCrPzgo3i4x/Hw9JK0Oe+r7Hmo2vxBB\ndZ5MdR6se8LPqV3YOgEozxJkL4sES5CzDjYt8Xa5br+rJCVF89UrHvb9T6XfBIMpQfSmb0vUuyS+\nc+bM4YknnuCqq64iMzOT5OTk4zrkfDKQ+WLDfuSOfzu63as1Js0keYpB0SaFhFFGi+HdYFCyU7Di\nVhe+Uons9xQuX+npUsedozQOa8mO9pd0gVpRXy6j+8EygEaJeJ/+xMX+9+qytHW73WFvkDLFYOAs\no1nG9aYnnBRvse/7pr+ZzP5lO8cnNThiCanp9SrbI9j1ikriOJPRVza93wPnmIz+tkbRJpnU2QaJ\nLWzbTLhBw9LtbOWJt3R+gFNcEJPW/uSrrZXTqMt0Dq3QKNstkXaW3sjSFQ5+JPPNX+yezUWb6no2\nx3b6MFvEsmDvWwq5ETDw/OPfgSomzaIiC5QIi8RxXc8piB5o0W+iQclWhbgRBv1n9Hx+guaFzx50\nUp0jk/2+Quwws5llaCjokvhOnTqVcePGcdVVVyGE4Be/+EWwjytMN9n+b4W9S1Rihpos+KufqAF1\ng6GwOjSAtYfigkVvecn9TCZ1ptHuiqqrlO6S8ZXacdPqPAl/pUCN7Pzxe4phxa1uavIE/Wdqdmed\nHzYI0e7XFfK/kEk7Uyfphob3jblKp3SHRvk+0WLrQb3R4u1om7xgULpTsPqHLgJVgql3BZoljTXm\n6z+pbPuHA2eCxYInfAxoVKftiGrwC3cntX/dXHEw52E/Bz5WSJ5iMGS+PQhZFqy83UXJNgXZZeGI\n9jYZoIREuw5u5XsFuZ/LVGRJBGoEc3/tD3mIMX+9zNZnVNsI5Ld+FBec90LLe+2irpezRV1rxCAK\n5Fd/cPD1n+wuXJNudXTKxKQvcs5zXg68FY0j1dtlT3CwIxSL3vRycJnCoNMNu4VrD2MZoPvtm21q\nTT3ZQ0mX93zvu+++YB5HmCBiaLD5CQc1eTKF30DyFJMz/uQnPsPCGWs18RzuDo4oGH5eaGeIIxbp\nHPhQozTTboAQ2cVextv/5SDvs7rHXcDi9xq2QUp2CD57yC4zOrhCYfyFQN0+qZBo0zBhxo/8mBrI\nTtFEzLvLjhcc9dakO/+jtim++z9Q8ZVL+Moh622FAY3qtOf/yceWZ1Qi+8Pk2zp231syzLAM8Jba\ng5LhE1QekAD73mu1sOs12/KyLYOWdT93kbPaPqfK/bbl5mm/Ca0IrX/EQeHX9t+MSLGa1I8bWlMj\nkqHn2D2bi7fVrXpbKAHrKuV7pfqGGxVZQaht6iSGBqvudFK+1+5HPf2H3RsD1CiYcz8UF3f/+++K\np83nO9Q4omDmA36y3lNIGG2S0YlEwO4Qdrg6AZFk6pu9Sw6LqP4miouQdFMJNbJKt7v/AMSPMJCc\nFqZfENm/qYBnvqyg1ZUcBarryo86OPCmTLNYtCT49bGxQ02EbGEZgoh2JhzxowxKtttiljyl6WAY\nM9Ri3u+7f98lBSbeqLF3ib3lMP56e/CuyhG8OT+CQJWEEmFx/kteBp3W8oBsGU3PQ+9EGoi3HNbc\n78TSYeaDfiKSO/hG0fx1bSG8eUYkvkpBylSdS97z1YeBp93Tds/mrjJysUbxNglhyYy8rOebpux+\nXWHf/+w9hJoCwcSbtPoxIgyM/a7O2O/27AQgLL4nIEKC+X/xses1lcQxBumL+l6dZzCoLRR8/jMn\nhs8uH+o3vnWRyrjMwLK8lO+VmXBj08GvbJfC0ZE5PsMgIV3psYS7oxz5RmL3qyrxo0wm3awx6TYN\nR4yFp1Bi0m1ti+fCv/kZONsgJs1k0GnNV56WBXveVFBcFumLjC7vN065XWuWjLL9XyqBKnslp3sE\nBRtlUmcZ6F6aDe4zf+rH0KB8j4zmhf0fqcRnWB1akS+/D3a+aIuH7hWc9UzHJjxzHvaz9WkLVz+L\naXcHOLxaZvlNrvpjPrJRoTpHEDOk8xGV3E9lMl9UiRxoMvsXgTYbcQw/3yDtLA9J/aIpq+z572PM\nEAs1wkLzCFzxLbuxhelZwuJ7gpIy1SRlavNwaaAGPEWC2GE9b/4ebDY+6iD7aOMAEy58pe0BedTl\nBkdDpY1JmmBQ8KWM7ISx12r09NfCsmx7zbJdMkK1iOhnMnKxwdhrOzYTlxTa/N0vfulg6zMOEDBx\nU4C5QdxvTBhp1reyU6NMBszSWXJ2BLV5glFXaU32NlOmWFyy1MfqHzrZ9bIDwwsHPlSYfJvGweUy\nNXkSY67VWnSW0xs9ykYnDr//dJP+jSIn2/7RMFkAkN0W7i42Pfnil05KdtiKG5VqMfnWticRskqn\n6liLtgr2/VclZbrdwao7DD7d4PQ/eSncJJOxWG92HJZpe4+7EqygOH6FaZ+w+J5EVGQJPrzOTeV+\niZGXaJz51PFt/i438kSWu/Ekz3kkQMp0E2ecxZAzujbI7XtH5qs/OFEjLOY95iNlSvsDenWeQPdA\n7DCLQF31iaUJPCUN+6nBoHyvBJYAC7Y/6yB6oMmkm4MTYhtzjY7k8FG6W2LyrQF2vOCgtE6Q9n+g\ntJhYlDTJYO9bFoYP4jJMlt3oJPt9FUxBwVcSZ7XwXM7/JdSWa1iGHeXoKq6EhvsSkWJw1lM+1Ii2\n32ME7PB6zOCmJhBmo1tkBXkxq/tg5W1uKrJk1BiLiGQPqd3sV5yx2CBjcfMDNXX46DoX+V8qJE82\nuOAVb4/XPp+MhMX3JCL7A5WKffbAmPu5gqn7O9U9qK8x82cBTEOg++CU+7u+mhMCRn6rZTHyFMOy\nG+0s6THfbj1RJfNFR/213fG8g5QpDQJhWbDu/xzkfqqQNNlgwV/8ZL0r8+mPXeheO5t56l0B9i5R\niU4zGR+khLijjPiWTt46GcMnYRm25WawxBdo4lTVf7qBM87EXyERN6LlCcj463SiB3rxFAtihpos\nXRxRn4xUtrvl2G3CiNazlFti3zsyFVkyE24K4GpULnT6436iB1vIbph6R/vds3QfvHelm4INMgNO\nMbjoDW+9m9usn/vJfEElamCDU1qw0L00dLCqElRkS83E17LsFWtX+k43pmyPxKEV9tZL3mcKeZ/L\nvWYzezJxHA+9YTrL4DM0djyvUJsvkzTROK6FF8AZDWc8HtrVe+aLDgrW2xdq16sw7d6WWxZGD2xU\nyjXEamK7V3lAsON5B6YmKNstMWKRzuFVSn1bvR0vqChui6QJdllYZxt6mIZdp1h1yA71ZlzSdOAc\nfaWOrxQ2PurCNGyBDBVD5huc95KXku0yY77duiAdHdzzvpDs8h4DwGLY2d0XsT1vKqz5kQvDLzjy\nlcxFbzTUg6kRdqepzU84+OpxBzPua1uAi7ZI9fe/4EuFoi0SqbPse91S04hg4YqHCd/XOLBMISHD\nYNQVTSdL+etl1v7YieGF6fcFmtVdd4aYNJOE0SZlu21r3aRJJ4+1bm9ynA+/YTpD8iSLS5Z6Kdkh\nkXZWeGZ7lKocwfbnVKKHWEy4oengnzjWQI200GrbbpJ++uN+4kZYBKotsj9Q2bNEYdo9AcZcreOK\nt4hINqnJk3ElWsSkmQyca3DgQ5OAp65vrylRfUjmwIc6Iy5ufSDVPFCRLZEwyqwPgWa+oJL5QkMv\nW0ekr1nt5eQf6AyY6cHU7Q5GoSR1pklqB//GwNkmp9zv58hXMoNO14OyIi/bI2HU1W3W5De/YWsf\ncJGzyh76hGR3imqNfuNNEscZlGbKJI4z6De+54Rp5oMBZj7Y8rHtelWhvC5KsPt1tVvi64iCC9/w\ncuAjhbQFTY1HwoSOsPieZMSkWcSk9azw6j675251rmDM1Rpjv6Pjr7JrkV2JFpNu1no1yWPVnS7y\nv1AQsoWkWCTf3/Bvw8834EkvpTtlxl3X+iB9tJRrzY+clGXag+KuV1UGzDD45C4XpgmDTteYdKtG\n/EiL+JE6yZMMPIWCtQ+4qNwv404yiR9l8MmdTvLXy/SfbrDwSX99WNFXDu9e5qZku8LA03QufN2L\nrNouQ3XWEOgeiXW/cJJ2ZvM6npRpLQuHrwI8hYL4jN5Jwgt2ec+46zQKvpTxFAvGXNP8c4+WlQH4\n27EBdUTBxf/ze1GTTwAAIABJREFUkPuZwqC5etDKcww/rLjVRdleiWHn6cz6Wee2TeJGNpSixaZ1\nf0IQNcBiwvc7fg/K9wlW3QIBzcWsn/uJHRoW7M4SFt8wIWfbcypZ79ixVG+xYMy1OqvudnHgAxWw\nMLyCaUFs4K7VwsofuKgpkBh7TYBx17W9KvCV2YpjGYKavOazgOHnGx22m4sd3jAoxgw22fGC2mDy\nkESTMGXCKIuEURbn/stL9vsqA+camAHBnjdVsATVh2XGXKvVt747vFqhZLv9WflfyNTk2lnrug/b\nFMS0BbiVTogtUrhZsPxGNzX5EqOv1lrsIXy8ETPEYvEHrftGT/thgM1/A0eM1aHad1e8bfYSTHa/\nobD/A/s7sbNYMOWOAK64jr9/6p0akf0tApUiaKY5nWHD753sfw9ARXbSrQ5dJyth8Q0TciL7WwjF\nwtIFjhh7L9RbcnSJJSje3vpya8vTqm1hearB1LvsQaZsj2DNfbYj1bR7/c3KMLY+6+DAR/bAtrnS\n0a74TrwlwI5/O+rDwxWHwZChJk8QNcjq1B7s5B9ouBItfKWCiTdq7HpVqT/3eovPY0gcZ5E4zhYB\nXxlEDTSpyZWJTDWIHd6gpINO04kfbVC+WyZlqkFUXdvDIxuV+oQlV4LJqT/zdziScPBjleoce2md\n/0Vwu451Ft1nrwiD5afcGmkLDNIWdK19ZbCIzzBxxJoEKiUiUqx2M66PRQgYfUXvuUI1/k5IanjV\n2xXC4hsm5GRcpuMr81ORJTH2O7bITLg+QPFWGcMnKNigULo7QOLopl/iimzBxked6B5B3ucKA+cZ\npEw22f6cgyMb7Ed3+3MORixqOpBGDzIRqoWl2YYC7TH2Gp1Rl+u8c7Gbz3/qJvNfIEe5Kd1pNwm4\n8FVvh+szhbD9oI8y7ns6ittHda7ExFs6sMpKgHOf93JwmcqQBTrRqQ3H74iGaff4sUyL4ec17Pmm\nnaWRs0pG99uZ0+kXdmyVfniVjK8K3Ekm3mKJ5MkGlmmHYp1x9rls+6dC9ru2+ce83/u7lFl7cJnM\n1udsf+X5f/K32BijYIPEqrtd+MsFk24NMO3ehtWcqUPWxyClCKIHnRgDfeqpJgv/5uPI1zIZi7Xj\nro/t7If9RMap+AMBTv3p8R8t6Q3C4nuSEKgGwy+6bCjQHYSgWSnGwNNMJMWuZvUWSxRskEkc3XQm\nLxSQFDuUKqSGut7I1IY9zpaaBYy6XEer8VG+T2LcdR0LyXmKRL1hQvl+OPrVyPtUoWyPRNKEru2r\nCdF539rkSRbJkwIEauDTHzvQ/YLp9wVYc4+L3E8VYocb9J/uJbauwcSgeQbJU038VZA4rmPHmbVU\nZvXdbjSPYOA8ncl/85Iyw+T1eRFU50qkLdSZ/xcfm/7sxFMsUfClRcoUgzHf7vxqa+MfnJRss69t\n7DCLmT9pPgnZ945K5f66+uAP1Sbiu/xmF/vfh8hUN+c+7+1QDfXxwLDzDIaF2Bs9VESmWFz8Lygu\nPn6Et3i7hBppETe8bzw/YfE9CTi0Umbt/U4CNYJp9wSC2q+yq7j7WQw7T+PwSoX4USYjFzcf1GPT\nLGb/0k/OWoXUWXp9L99p9wSoLRTs/1Cm8qAg91MZf5Wg33ijPvFj/PWdE4moVIvBZ+gcXNEQwgVQ\nIkzihvdO6cWXjzjY8bztA+gtERRtsWPJlftlDq1UmFhnk7npzw4Of2J/lb96HAaf3n5ItXirjOax\nz9NzRJC20OTdK531bSf3f6gw8yGBGmVBMchOcCV2bdBSXA3vU6Na/ozkKUa9/WHCqAZBsiwo3Gyf\nd22+TM5qlZQpx59HeWt88SsHh1cqJIw1OPPvx3fdfV/mqz84+OavDhSXxdxf+3u1kcNRwrf6JCD7\nfYWaPHtQPbhc6RPiKwSMuFjH1AXJUwycLWSRWhZU59g93qIHNwzaQrIFw1so4y2EFT+Q8BZJRKYa\nnPeil+RJnRcJIcF5L/pY+4CDnf9pML6NGmC12j+4Ol/w9R8cqJEWp/40UG++cCzF2wX5XyiMvFQj\nol/Hj0n3NUwCLBNSTzU4uFyQMMpk2PkNg4ejUROIju4djrpS4/AaBU+RYOQl9vOgVTdsFKvRFlED\nLeY95mff2wr9xhsMO6drq7R5j/rY9g8HEf1b93EefYVO1AAP1blSk5pWISB1lsG+/8rEpBkMO7f3\nn91g4SkUZL7gQKsRlO2WSVvQvJ43THDI/1LGDAgCAUHu50pYfMP0DP2nGWS9Y6F7od/Y0KzifOWw\n4nEwXSpTftB+6ZDmaWhgfeBDhbhhJkOPGdx3vabwzV8cYAlKMyXSFnrqPzeiUd9PrdoWqdp8mZw1\nKsmTmq6MfGWw82WVlKl2fW1rCAlO+02AqDgnO/9roMbApBubfpZl2qtQV6LFZw86OViX2IWAuY80\nX5GVZAo+vCaC2iMS+95WWPy+t8Ormxn3BwhUCYyAbamYONaibI9EbJqJ2qgP7rQfBjA18JYJpt3V\nsVVhwiiLK1Z66toh2j/LuEyjfJ8E2BEHxWV7Ag8+vXuh0X7jLBb8rf3wpN0Uounz6a8Cd6LFlBtg\n4t0eIlNafm/OGgndLxh6dtcbRzTG1OGTO5yU7pIZdq7ear1td1Cj7QS/yhoZZ5xJ3IiwuUWoSJ2l\nc2SjjOy0GDSv94UXwuJ73FC2R/Dlb53ICsz+lZ/ogR1f3Y39jk5sugdvsUR6N0omDD9IDloc3Fbf\n4+LARwBOzED7vW0to2FlZwTAX9X8Qy2toWzGNO2V8NHfmvtrv51FLUHZbkHWUpXY4SbpFzRfGX14\nnZsjGxSccSZn/9PH4Hmti4nshPP+CmNv8fDVH5yU7ZHQPPaK0tThw+tcFHxhN5pHNJoA1LY84hd8\nqVB7xJ4xVGRJBKrspKqOED3I4tznm5Zw9GthT1dW4dRO1omCPdlo3N1mwvd1Mi7VkWSaiHtv8umP\nnez7b103Ixyc9tvm57n5SZUNv3NimTD17gAzf9x9odz7VqMWfHl2C75g50uoEXDm016y31UZcIpB\nytSw+IaKGfdpDDvPNszpKzXJYfE9Ttjwu4ZVluK2WPj3ziU6DJzdfFXRGT7/mYN9b6vEDjU590Vv\ns/Cpt6yhdKj2SOtLj5JMwaEVKkPP1Zh+n5/976skjjaaNW8HGPsdjfIsQeV+idFXak0ybWUH9QJv\nWTDjgQCRyVYz0TB1qDpoi5+/QqJ4i9ym+ILd+enTB13sf7euY5IG8x4NULpb4vAK+2d5nyvMetiL\nJIPsti3+WmLkZXa5UUW2xNCzdZzxbf7pXifUZT6dJdBoUuavaDmcUrTZDikClGwNjltL7HATR4xJ\noErC3c9CjQzugF150E7wG3q2fkLtYfdlWpq49iZh8T1OaByqlDrp/dtdjICdjeotlvAW231nj9bc\nHmXSLQGEriC59Vb7z9YWCj76rpvqHJldrypctszDhDYSo4TUcii32e8JWs1glBS7kfmeJSquOJNh\nF7T+eZYFK2+3zQNMo0HpjyYmxQ01SRhjULZLJjbdYPTlOlNuazuSULRZprZAQvcIhNpy1CBM60y5\nQyNQI3BFKky5q+UJ57DzdArWy5g6DD23/chO1lKZI1/JjPiWTv/pLQ/IA04xmf9nuxRoxMV6q/v5\nXaFwk8TH17upLZAYeo7G+S+FDSpORsLi2wtkvSuz5e8OnPFw2UtAB2r8Zj/sR3Hbhg+n/rxn0/sl\nFWKHmXiLJJwJJiktDFjpFxqcej0UF7eeaVuRJeoNHaoOSlQekHDFh342esoDAfI+lynZrrD8pggu\nWepp0SYwUAXZ76qYAQAJ2W0w6DSL6T+yBVuNgove9HLgQ4UhC3XcHUieylkj4y2xV2PFm3vXxOJ4\nJHWWwSVLvSQlRVNc3HSCtfVZhd2vOYgebHLpiloUp8DdTkZ2wQaJ1T90o1ULDq1UuHK1p15YLcuu\nDIhMsUiaaJJ+kUH6RcEvBcpZq1BbUPdMbJOwTMI9dE9Cwre8F9jypIOiLQo5qxW+eLxj74keaLHw\nCT9n/MnfKRu6YCAEnP+il1m/8HHe814Gzu7agDRgpsnwCzUi+5ukX6yFrHuK7rMH0qOU7pLqbRlL\nd8j1JTvHokaBM7bhjf3GmVzwsrfJHlFkisX46zVihnQsDDnsHIPIVAOhWKR28bqdiFQcEFS30PSg\no1gWbHvWQWmmzMGPVfa+6WhXeAEqD0j1CXreUlEf1QB7f/nDa90sXexm3/9CN1EafoFG3Aj7mRh0\nmhEW3pOU8Mq3F2jY97OIHnB8xCFdCTDxZo3Nf3eQs8ZObGmtrGXX6wr731dIHGcy8yeB+lCrpMC5\n//ZhGt3vQdoSlgUrf+Akd61CwjiTtAU6hl8w7nsB+s/UObJBJmW60WqDAUmGxR/WsubOaIRbY+6v\nuh9hSJ1lcOUqD54SgRIJSy9x4y0TTLw5wNhr+kbWZU+z+UmVjY85kR0Wcx/pWs2lEOBKsKg+DJKz\n481CMi7TyVkboGy3zNBz9SaCXbxNAksQqBLkb1AY2ULj+WCQkGFx2XIPniLbmzvMyUlYfHuBBX/1\nsfnvKpEpFrPvc1FS2ttH1DG+/LWDrU/b6bE1+YKFTzQXp0A1bPi1E0+RxOFPLJImGM3sDkMhvADV\nh+2sZ0sX5K2VyFsrA4KKbMHFb3kpz5aIG26iuFr/jNg0uHE9FBcHbx/OlWALxbpfOMhbV2eL+S/H\nSSu+uWtlDK/A8Apy1nS95vLMJ31kvqSSMMpk5CUdE0pJgbOebnlSNWS+QelOGVe8xbBzQntvHFHg\naMVwJMzJQVh8e4HIFKs+kUhIbShBH8NT1BAfa2iMcAyi0f6VRI869riTLOJH2E3BZbeJ4a1zRjoi\nkJ2hq3HuKDFpVn3Ho5O5Z2r/U0zyvrCQVBhwatdFLn6kxdxfBS9T+JQfBxj9bQ1HlIWrLjqV+R+F\n4q0yIy/Vm223+Kvg6z86kJ0w40eBJmVbYcK0R1h8+wimbifnxGeYHd5P7Gkm3eanOkdgajCpFaci\nRxTMfthH9vuq7Yp0bs/tc6oRcP5LXrLeU4hINtj+TyeGT3TY3zkYbH9e4dAKhZQpJjPubyoM46/X\nEJJFdY7EpFu7LxqaBzD7Tk1uR5lxX4DBp+sobot+40P3rH/zN5XSTJkRF2sdagl5cLmMr0zUu0wd\nWinz+c9cGD5B3jqZq9Z6mgjsp/e72Pe2XXqge2Dur8MlQ2E6Tlh8+wjLb3Gx/z2VyP4m5/zb22oJ\nRE9TnStwRFs4YyF5osXi99v3DR55idHhMGCwiUmzmHqHLbajr+jZtnGeQsGG3zoJVErkrLXof4rO\n4NMb7qMQMP573Q9n+spg46MOsj9SEAhO+bG/T4WwtRpAatvqsv+M0D7f2R/IbHzUiaUJCr+WGDLf\n02a50PZ/KXzxSxeGHwo3aZz+mB9PocCoM4IJVAsMrakpib+q4bWv/PjI3QjTdwiLbx/AsqDoqHn8\nEYmcNQr9p/f+LHr9Iw62PevAnWSy4G9+BrVhzdiX2foPlX3/U4gdZp9HqNq3CbkhzC7JthtYsNG9\n8N4Vboq3NXx1s99T+oz47nxFYePvnUiqnUw1/ILuPzOWZUeGOoPuFVh17zE0gdWO1hdvkzH8toCW\n7ba/i6Ou0jnydYCyPRLpF+k4jokwTLnTrkGWHTC1g7aeAPvekdn6jANXAix8wos7scNvDXMCERbf\nPoAQMHCOwZ4lEjFDTIaf1zfM43PWKBh+QU2uzIGP5ONSfI0AbHlKpbZApmgzpEwzmXhTaK6vu5/F\n7If9dth5qsHAWR1b3W34nYP9HyrEZ5ic9bSvzclBdZ6geHvjjDWLhNF9I0oC9kTAU2iLV9ZStdv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NIORwEcXK6ExbeP4oxpqPtUnKFP8IgdanH6oz5y1igMPl0ndmjnBHTizRqSA2rzBZNvaxjs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\nRU5ErkJggg==\n","text/plain":["<matplotlib.figure.Figure at 0x7fc2a29c86a0>"]},"metadata":{"tags":[]}}]},{"metadata":{"id":"il-hVHhjk4-r","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":85},"outputId":"2699aaa2-62d5-4183-f2a4-032e87888979","executionInfo":{"status":"ok","timestamp":1546735221568,"user_tz":-480,"elapsed":792,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["#不设定class_weight\n","clf = svm.SVC(kernel='linear', C=1.0)\n","clf.fit(X, y)"],"execution_count":6,"outputs":[{"output_type":"execute_result","data":{"text/plain":["SVC(C=1.0, cache_size=200, class_weight=None, coef0=0.0,\n","  decision_function_shape='ovr', degree=3, gamma='auto_deprecated',\n","  kernel='linear', max_iter=-1, probability=False, random_state=None,\n","  shrinking=True, tol=0.001, verbose=False)"]},"metadata":{"tags":[]},"execution_count":6}]},{"metadata":{"id":"GY6M5rMqk4-w","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":85},"outputId":"72304c68-07d3-413b-8d1c-eb124ac5190f","executionInfo":{"status":"ok","timestamp":1546735224875,"user_tz":-480,"elapsed":730,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["#设定class_weight\n","wclf = svm.SVC(kernel='linear', class_weight={1: 10})\n","wclf.fit(X, y)"],"execution_count":7,"outputs":[{"output_type":"execute_result","data":{"text/plain":["SVC(C=1.0, cache_size=200, class_weight={1: 10}, coef0=0.0,\n","  decision_function_shape='ovr', degree=3, gamma='auto_deprecated',\n","  kernel='linear', max_iter=-1, probability=False, random_state=None,\n","  shrinking=True, tol=0.001, verbose=False)"]},"metadata":{"tags":[]},"execution_count":7}]},{"metadata":{"id":"gas3E65ok4-z","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":34},"outputId":"cb318c93-0d1e-4ac2-d73a-29453af463e3","executionInfo":{"status":"ok","timestamp":1546735236345,"user_tz":-480,"elapsed":790,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["#给两个模型分别打分看看，这个分数是accuracy准确度\n","#做样本均衡之后，我们的准确率下降了，没有样本均衡的准确率更高\n","clf.score(X,y)"],"execution_count":8,"outputs":[{"output_type":"execute_result","data":{"text/plain":["0.9418181818181818"]},"metadata":{"tags":[]},"execution_count":8}]},{"metadata":{"id":"oldyj2UnmqL1","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":34},"outputId":"6df57272-97d3-4347-bb58-19f2c28fb9e4","executionInfo":{"status":"ok","timestamp":1546735238993,"user_tz":-480,"elapsed":785,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["wclf.score(X,y)"],"execution_count":9,"outputs":[{"output_type":"execute_result","data":{"text/plain":["0.9127272727272727"]},"metadata":{"tags":[]},"execution_count":9}]},{"metadata":{"id":"t4GDjC-qk4-3","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":320},"outputId":"3bc4f705-b1cf-4888-ded4-a65b9f3119d2","executionInfo":{"status":"ok","timestamp":1546735245680,"user_tz":-480,"elapsed":1008,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["#首先要有数据分布\n","plt.figure(figsize=(6,5))\n","plt.scatter(X[:, 0], X[:, 1], c=y, cmap=\"rainbow\",s=10)\n","ax = plt.gca() #获取当前的子图，如果不存在，则创建新的子图\n","\n","#绘制决策边界的第一步：要有网格\n","xlim = ax.get_xlim()\n","ylim = ax.get_ylim()\n","\n","xx = np.linspace(xlim[0], xlim[1], 30)\n","yy = np.linspace(ylim[0], ylim[1], 30)\n","YY, XX = np.meshgrid(yy, xx)\n","xy = np.vstack([XX.ravel(), YY.ravel()]).T\n","\n","#第二步：找出我们的样本点到决策边界的距离\n","Z_clf = clf.decision_function(xy).reshape(XX.shape)\n","a = ax.contour(XX, YY, Z_clf, colors='black', levels=[0], alpha=0.5, linestyles=['-'])\n","\n","Z_wclf = wclf.decision_function(xy).reshape(XX.shape)\n","b = ax.contour(XX, YY, Z_wclf, colors='red', levels=[0], alpha=0.5, linestyles=['-'])\n","\n","#第三步：画图例\n","plt.legend([a.collections[0], b.collections[0]], [\"non weighted\", \"weighted\"],\n","           loc=\"upper right\")\n","plt.show()"],"execution_count":10,"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAW8AAAEvCAYAAACKZEB4AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAYTg4BBOnTqRq7/jx49x8uRxXn31BQBU1cWtW7e4eDGO5s219lq3bsu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k6B1xh5tZ9bHt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\nE9C697ihwwoMDGLu3PtYtWo5iYknKSkpYerUGU3mg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JRfvefGmS2XCzcY2JsZ5UO4QsHR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\n","text/plain":["<matplotlib.figure.Figure at 0x7fc29a6be828>"]},"metadata":{"tags":[]}}]},{"metadata":{"id":"yln_Goqzk4-6","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":34},"outputId":"1931251b-d63c-4c40-9d31-7c0434063836","executionInfo":{"status":"ok","timestamp":1546735249893,"user_tz":-480,"elapsed":751,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["a.collections #调用这个等高线对象中画的所有线，返回一个惰性对象"],"execution_count":11,"outputs":[{"output_type":"execute_result","data":{"text/plain":["<a list of 1 mcoll.LineCollection objects>"]},"metadata":{"tags":[]},"execution_count":11}]},{"metadata":{"id":"jMSc1w0pk4-9","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":34},"outputId":"5160f34a-3430-4243-ca56-315da742bb39","executionInfo":{"status":"ok","timestamp":1546735252029,"user_tz":-480,"elapsed":748,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["#用[*]把它打开试试看\n","[*a.collections] #返回了一个linecollection对象，其实就是我们等高线里所有的线的列表"],"execution_count":12,"outputs":[{"output_type":"execute_result","data":{"text/plain":["[<matplotlib.collections.LineCollection at 0x7fc29a67cc18>]"]},"metadata":{"tags":[]},"execution_count":12}]},{"metadata":{"id":"bo8FCE0kk4-_","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":34},"outputId":"af40c743-be77-4830-c3e4-aedc627ce29f","executionInfo":{"status":"ok","timestamp":1546735256307,"user_tz":-480,"elapsed":754,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["#现在我们只有一条线，所以我们可以使用索引0来锁定这个对象\n","a.collections[0]"],"execution_count":13,"outputs":[{"output_type":"execute_result","data":{"text/plain":["<matplotlib.collections.LineCollection at 0x7fc29a67cc18>"]},"metadata":{"tags":[]},"execution_count":13}]},{"metadata":{"id":"YZeaxH_tk4_B","colab_type":"code","colab":{}},"cell_type":"code","source":["#plt.legend([对象列表],[图例列表],loc)\n","#只要对象列表和图例列表相对应，就可以显示出图例"],"execution_count":0,"outputs":[]},{"metadata":{"id":"wgSqNjRgm6y7","colab_type":"text"},"cell_type":"markdown","source":["## 混淆矩阵"]},{"metadata":{"id":"0sqriN5_oES9","colab_type":"text"},"cell_type":"markdown","source":["在混淆矩阵中，我们将少数类认为是正\n","例，多数类认为是负例。在决策树，随机森林这些普通的分类算法里，即是说少数类是1，多数类是0。在SVM里，\n","就是说少数类是1，多数类是-1"]},{"metadata":{"id":"HSSHpAlRn9Zq","colab_type":"text"},"cell_type":"markdown","source":["### 精确度Precision\n","，又叫查准率，表示所有被我们预测为是少数类的样本中，真正的少数类所占的比例。在支持向\n","量机中，精确度可以被形象地表示为决策边界上方的所有点中，红色点所占的比例。精确度越高，代表我们捕捉正\n","确的红色点越多，对少数类的预测越精确。精确度越低，则代表我们误伤了过多的多数类。精确度是”将多数类判\n","错后所需付出成本“的衡量"]},{"metadata":{"id":"FlPit1_lm4J3","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":1071},"outputId":"997c8b7d-6dac-42a7-baa1-149afa56ee48","executionInfo":{"status":"ok","timestamp":1546735294572,"user_tz":-480,"elapsed":750,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["y == clf.predict(X)\n","# 取出被判断正确的样本"],"execution_count":15,"outputs":[{"output_type":"execute_result","data":{"text/plain":["array([ True, False,  True,  True,  True,  True,  True,  True,  True,\n","        True,  True,  True,  True,  True, False,  True,  True,  True,\n","        True,  True,  True,  True,  True,  True,  True,  True,  True,\n","        True,  True,  True,  True,  True,  True,  True,  True,  True,\n","        True,  True,  True,  True,  True,  True, False,  True,  True,\n","        True,  True,  True,  True,  True,  True,  True,  True,  True,\n","       False, False,  True,  True,  True,  True,  True,  True,  True,\n","        True,  True,  True,  True,  True,  True,  True,  True,  True,\n","       False,  True,  True,  True,  True,  True,  True,  True,  True,\n","        True,  True,  True,  True,  True,  True,  True,  True,  True,\n","        True,  True,  True,  True,  True,  True,  True,  True,  True,\n","       False,  True,  True,  True,  True,  True,  True,  True,  True,\n","        True,  True,  True,  True,  True,  True,  True,  True,  True,\n","        True,  True,  True,  True,  True,  True,  True,  True,  True,\n","        True,  True,  True,  True,  True,  True,  True,  True,  True,\n","        True,  True,  True,  True,  True,  True,  True,  True,  True,\n","        True,  True,  True,  True,  True,  True,  True,  True,  True,\n","        True,  True,  True,  True,  True,  True,  True,  True,  True,\n","        True,  True,  True,  True,  True,  True,  True,  True,  True,\n","        True,  True,  True,  True,  True,  True,  True,  True,  True,\n","        True,  True,  True,  True,  True,  True,  True,  True,  True,\n","        True,  True,  True,  True,  True,  True,  True,  True,  True,\n","        True,  True,  True,  True,  True,  True,  True,  True,  True,\n","        True,  True, False,  True,  True,  True,  True,  True,  True,\n","        True,  True,  True,  True,  True,  True,  True,  True,  True,\n","        True,  True,  True,  True,  True,  True,  True,  True,  True,\n","        True,  True,  True, False,  True,  True,  True,  True,  True,\n","        True,  True,  True,  True, False,  True,  True,  True,  True,\n","        True,  True,  True,  True,  True,  True,  True,  True,  True,\n","        True,  True,  True,  True,  True,  True,  True,  True,  True,\n","        True,  True,  True,  True,  True,  True,  True,  True,  True,\n","        True,  True,  True,  True,  True,  True,  True,  True,  True,\n","        True,  True,  True,  True,  True,  True,  True,  True,  True,\n","        True,  True,  True,  True,  True,  True,  True,  True,  True,\n","        True,  True,  True,  True,  True,  True,  True,  True,  True,\n","        True,  True,  True,  True,  True,  True,  True,  True,  True,\n","        True,  True,  True,  True,  True,  True,  True,  True,  True,\n","        True,  True,  True,  True,  True,  True,  True,  True,  True,\n","        True,  True,  True,  True,  True,  True,  True,  True,  True,\n","        True,  True,  True,  True,  True,  True,  True,  True,  True,\n","        True,  True,  True,  True,  True,  True,  True,  True,  True,\n","        True,  True,  True,  True,  True,  True,  True,  True,  True,\n","        True,  True,  True,  True,  True,  True,  True,  True,  True,\n","        True,  True,  True,  True,  True,  True,  True,  True,  True,\n","        True,  True,  True,  True,  True,  True,  True,  True,  True,\n","        True,  True,  True,  True,  True,  True,  True,  True,  True,\n","        True,  True,  True,  True,  True,  True,  True, False,  True,\n","        True,  True,  True,  True,  True,  True,  True,  True,  True,\n","        True,  True,  True,  True,  True,  True,  True,  True,  True,\n","        True,  True,  True,  True,  True,  True,  True,  True,  True,\n","        True,  True,  True,  True,  True,  True,  True,  True,  True,\n","        True,  True,  True,  True,  True,  True,  True,  True,  True,\n","        True,  True,  True, False,  True,  True,  True,  True,  True,\n","        True,  True,  True,  True,  True,  True,  True,  True,  True,\n","        True,  True,  True,  True,  True,  True,  True,  True,  True,\n","        True,  True,  True,  True,  True,  True,  True,  True, False,\n","        True,  True,  True, False, False,  True,  True, False,  True,\n","       False,  True, False, False,  True,  True, False,  True,  True,\n","        True,  True, False, False,  True,  True,  True, False, False,\n","        True,  True,  True,  True, False, False,  True,  True, False,\n","       False,  True, False, False,  True, False, False,  True,  True,\n","        True])"]},"metadata":{"tags":[]},"execution_count":15}]},{"metadata":{"id":"1T20M4kTnHG7","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":34},"outputId":"cc011c0e-13e6-4c22-d872-d1b7a45e0798","executionInfo":{"status":"ok","timestamp":1546735378341,"user_tz":-480,"elapsed":952,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["(y[y == clf.predict(X)] == 1).sum()"],"execution_count":17,"outputs":[{"output_type":"execute_result","data":{"text/plain":["30"]},"metadata":{"tags":[]},"execution_count":17}]},{"metadata":{"id":"YLdA3T8Gk4_F","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":34},"outputId":"28c6b5b7-250e-4226-f40c-314e1cb331e8","executionInfo":{"status":"ok","timestamp":1546735263748,"user_tz":-480,"elapsed":766,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["#所有判断正确并确实为1的样本 / 所有被判断为1的样本\n","#对于没有class_weight，没有做样本平衡的灰色决策边界来说：\n","(y[y == clf.predict(X)] == 1).sum()/(clf.predict(X) == 1).sum()"],"execution_count":14,"outputs":[{"output_type":"execute_result","data":{"text/plain":["0.7142857142857143"]},"metadata":{"tags":[]},"execution_count":14}]},{"metadata":{"id":"iOLQmFOak4_O","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":34},"outputId":"96e27524-7a6f-43d1-bb6b-5f2c0c7ca4f8","executionInfo":{"status":"ok","timestamp":1546735397524,"user_tz":-480,"elapsed":759,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["(y[y == clf.predict(X)] == 1).sum() #True = 1, False =1 #真实值等于预测值的全部点"],"execution_count":18,"outputs":[{"output_type":"execute_result","data":{"text/plain":["30"]},"metadata":{"tags":[]},"execution_count":18}]},{"metadata":{"id":"Ny-SSvRhk4_R","colab_type":"code","colab":{},"outputId":"89432725-a7f1-4cff-894d-fb47892a633b"},"cell_type":"code","source":["int(False)"],"execution_count":0,"outputs":[{"output_type":"execute_result","data":{"text/plain":["0"]},"metadata":{"tags":[]},"execution_count":17}]},{"metadata":{"id":"gd5Gcx-jk4_u","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":34},"outputId":"47aba5d0-f4e2-4b97-98ca-a97b49ed49a6","executionInfo":{"status":"ok","timestamp":1546735410595,"user_tz":-480,"elapsed":1155,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["#对于有class_weight，做了样本平衡的红色决策边界来说：\n","(y[y == wclf.predict(X)] == 1).sum()/(wclf.predict(X) == 1).sum()"],"execution_count":19,"outputs":[{"output_type":"execute_result","data":{"text/plain":["0.5102040816326531"]},"metadata":{"tags":[]},"execution_count":19}]},{"metadata":{"id":"RVnmt0mIoXst","colab_type":"text"},"cell_type":"markdown","source":["### 召回率Recall\n","，又被称为敏感度(sensitivity)，真正率，查全率，表示所有真实为1的样本中，被我们预测正确的样\n","本所占的比例。在支持向量机中，召回率可以被表示为，决策边界上方的所有红色点占全部样本中的红色点的比\n","例。召回率越高，代表我们尽量捕捉出了越多的少数类，召回率越低，代表我们没有捕捉出足够的少数类"]},{"metadata":{"id":"CGfnIh9ik4_y","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":34},"outputId":"22ea2e3f-4a5f-4d61-d630-4d67334edae6","executionInfo":{"status":"ok","timestamp":1546735618224,"user_tz":-480,"elapsed":1020,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["#所有predict为1的点 / 全部为1的点的比例\n","#对于没有class_weight，没有做样本平衡的灰色决策边界来说：\n","(y[y == clf.predict(X)] == 1).sum()/(y == 1).sum()"],"execution_count":20,"outputs":[{"output_type":"execute_result","data":{"text/plain":["0.6"]},"metadata":{"tags":[]},"execution_count":20}]},{"metadata":{"id":"1vsJCYZfk4_5","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":34},"outputId":"66f54bfc-3773-4ca9-83bd-65263cc92b15","executionInfo":{"status":"ok","timestamp":1546735628793,"user_tz":-480,"elapsed":731,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["#对于有class_weight，做了样本平衡的红色决策边界来说：\n","(y[y == wclf.predict(X)] == 1).sum()/(y == 1).sum()"],"execution_count":21,"outputs":[{"output_type":"execute_result","data":{"text/plain":["1.0"]},"metadata":{"tags":[]},"execution_count":21}]},{"metadata":{"id":"iy4qmB_Qp9Np","colab_type":"text"},"cell_type":"markdown","source":["### 判错多数类的考量：特异度与假正率"]},{"metadata":{"id":"SMuB7jiOqGQu","colab_type":"text"},"cell_type":"markdown","source":["#### 特异度(Specificity)\n","表示所有真实为0的样本中，被正确预测为0的样本所占的比例。在支持向量机中，可以形象地\n","表示为，决策边界下方的点占所有紫色点的比例"]},{"metadata":{"id":"Th9ZhYY_k4_8","colab_type":"code","colab":{},"outputId":"141aba7a-b777-49dd-e931-f32f33d93ed7"},"cell_type":"code","source":["#所有被正确预测为0的样本 / 所有的0样本\n","#对于没有class_weight，没有做样本平衡的灰色决策边界来说：\n","(y[y == clf.predict(X)] == 0).sum()/(y == 0).sum()"],"execution_count":0,"outputs":[{"output_type":"execute_result","data":{"text/plain":["0.976"]},"metadata":{"tags":[]},"execution_count":21}]},{"metadata":{"id":"ahnOQmEqk5AA","colab_type":"code","colab":{},"outputId":"59fcccec-0fa1-41ad-adf8-f90c6a66ad19"},"cell_type":"code","source":["#对于有class_weight，做了样本平衡的红色决策边界来说：\n","(y[y == wclf.predict(X)] == 0).sum()/(y == 0).sum()"],"execution_count":0,"outputs":[{"output_type":"execute_result","data":{"text/plain":["0.904"]},"metadata":{"tags":[]},"execution_count":22}]},{"metadata":{"id":"uSJxmk1Qq1BU","colab_type":"text"},"cell_type":"markdown","source":["特异度衡量了一个模型将多数类判断正确的能力，而1 - specificity就是一个模型将多数类判断错误的能力，这种\n","能力被计算如下，并叫做假正率（False Positive Rate）"]},{"metadata":{"id":"gXeC5ZGfrBun","colab_type":"text"},"cell_type":"markdown","source":["# ROC曲线以及其相关问题"]},{"metadata":{"id":"VmbYPDiUr5lE","colab_type":"text"},"cell_type":"markdown","source":["衡量模型在尽量捕捉少数类的时候，误伤多数类的情况如何变化\n","\n","ROC曲线，全称The Receiver Operating Characteristic Curve，译为受试者操作特性曲线。这是一条以不同阈值\n","下的假正率FPR为横坐标，不同阈值下的召回率Recall为纵坐标的曲线"]},{"metadata":{"id":"XdO8XexasNuD","colab_type":"text"},"cell_type":"markdown","source":["## 1 概率(probability)与阈值(threshold)"]},{"metadata":{"id":"PmaUe1wJk5AB","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":347},"outputId":"00c08be3-18ff-45a9-b1e8-b43fc04e588c","executionInfo":{"status":"ok","timestamp":1546736696635,"user_tz":-480,"elapsed":717,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["class_1_ = 7\n","class_2_ = 4\n","centers_ = [[0.0, 0.0], [1,1]]\n","clusters_std = [0.5, 1]\n","X_, y_ = make_blobs(n_samples=[class_1_, class_2_],\n","                  centers=centers_,\n","                  cluster_std=clusters_std,\n","                  random_state=0, shuffle=False)\n","plt.scatter(X_[:, 0], X_[:, 1], c=y_, cmap=\"rainbow\",s=30)\n","plt.show()"],"execution_count":22,"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAecAAAFKCAYAAAAnj5dkAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nsRqSf1YnwzUAAAAASUVORK5CYII=\n","text/plain":["<matplotlib.figure.Figure at 0x7fc29a6beac8>"]},"metadata":{"tags":[]}}]},{"metadata":{"id":"HWStQLBeseFL","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":34},"outputId":"49b46d52-23aa-490c-9e88-5074ec9cc626","executionInfo":{"status":"ok","timestamp":1546736761557,"user_tz":-480,"elapsed":746,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["y_"],"execution_count":24,"outputs":[{"output_type":"execute_result","data":{"text/plain":["array([0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1])"]},"metadata":{"tags":[]},"execution_count":24}]},{"metadata":{"id":"X9u-iRbYk5AE","colab_type":"code","colab":{}},"cell_type":"code","source":["from sklearn.linear_model import LogisticRegression as LogiR"],"execution_count":0,"outputs":[]},{"metadata":{"id":"MVWzFcCFk5AG","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":71},"outputId":"da1ef95a-bf6b-4384-903a-e1cd50f8adb7","executionInfo":{"status":"ok","timestamp":1546736772670,"user_tz":-480,"elapsed":722,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["clf_lo = LogiR().fit(X_,y_)"],"execution_count":25,"outputs":[{"output_type":"stream","text":["/usr/local/lib/python3.6/dist-packages/sklearn/linear_model/logistic.py:433: FutureWarning: Default solver will be changed to 'lbfgs' in 0.22. Specify a solver to silence this warning.\n","  FutureWarning)\n"],"name":"stderr"}]},{"metadata":{"id":"QG8utKMvk5AM","colab_type":"code","colab":{}},"cell_type":"code","source":["prob = clf_lo.predict_proba(X_)"],"execution_count":0,"outputs":[]},{"metadata":{"id":"EEcV8QUUk5AN","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":204},"outputId":"88167a92-d7ff-4757-cf66-0a10ec2fa21f","executionInfo":{"status":"ok","timestamp":1546736791891,"user_tz":-480,"elapsed":740,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["prob"],"execution_count":27,"outputs":[{"output_type":"execute_result","data":{"text/plain":["array([[0.60466356, 0.39533644],\n","       [0.45891589, 0.54108411],\n","       [0.71798647, 0.28201353],\n","       [0.67910911, 0.32089089],\n","       [0.66473898, 0.33526102],\n","       [0.56277457, 0.43722543],\n","       [0.66205409, 0.33794591],\n","       [0.35516738, 0.64483262],\n","       [0.38160618, 0.61839382],\n","       [0.58528378, 0.41471622],\n","       [0.50149311, 0.49850689]])"]},"metadata":{"tags":[]},"execution_count":27}]},{"metadata":{"id":"dXmxG70Uk5AQ","colab_type":"code","colab":{}},"cell_type":"code","source":["#将样本和概率放到一个DataFrame中\n","import pandas as pd\n","prob = pd.DataFrame(prob)"],"execution_count":0,"outputs":[]},{"metadata":{"id":"vgnwEG8pk5AS","colab_type":"code","colab":{}},"cell_type":"code","source":["prob.columns = [\"zero\",\"one\"]"],"execution_count":0,"outputs":[]},{"metadata":{"id":"5wTQGJaQk5AU","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":390},"outputId":"148b1db7-cee4-44fd-fc39-382378709536","executionInfo":{"status":"ok","timestamp":1546736867286,"user_tz":-480,"elapsed":743,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["prob"],"execution_count":32,"outputs":[{"output_type":"execute_result","data":{"text/html":["<div>\n","<style scoped>\n","    .dataframe tbody tr th:only-of-type {\n","        vertical-align: middle;\n","    }\n","\n","    .dataframe tbody tr th {\n","        vertical-align: top;\n","    }\n","\n","    .dataframe thead th {\n","        text-align: right;\n","    }\n","</style>\n","<table border=\"1\" class=\"dataframe\">\n","  <thead>\n","    <tr style=\"text-align: right;\">\n","      <th></th>\n","      <th>zero</th>\n","      <th>one</th>\n","    </tr>\n","  </thead>\n","  <tbody>\n","    <tr>\n","      <th>0</th>\n","      <td>0.604664</td>\n","      <td>0.395336</td>\n","    </tr>\n","    <tr>\n","      <th>1</th>\n","      <td>0.458916</td>\n","      <td>0.541084</td>\n","    </tr>\n","    <tr>\n","      <th>2</th>\n","      <td>0.717986</td>\n","      <td>0.282014</td>\n","    </tr>\n","    <tr>\n","      <th>3</th>\n","      <td>0.679109</td>\n","      <td>0.320891</td>\n","    </tr>\n","    <tr>\n","      <th>4</th>\n","      <td>0.664739</td>\n","      <td>0.335261</td>\n","    </tr>\n","    <tr>\n","      <th>5</th>\n","      <td>0.562775</td>\n","      <td>0.437225</td>\n","    </tr>\n","    <tr>\n","      <th>6</th>\n","      <td>0.662054</td>\n","      <td>0.337946</td>\n","    </tr>\n","    <tr>\n","      <th>7</th>\n","      <td>0.355167</td>\n","      <td>0.644833</td>\n","    </tr>\n","    <tr>\n","      <th>8</th>\n","      <td>0.381606</td>\n","      <td>0.618394</td>\n","    </tr>\n","    <tr>\n","      <th>9</th>\n","      <td>0.585284</td>\n","      <td>0.414716</td>\n","    </tr>\n","    <tr>\n","      <th>10</th>\n","      <td>0.501493</td>\n","      <td>0.498507</td>\n","    </tr>\n","  </tbody>\n","</table>\n","</div>"],"text/plain":["        zero       one\n","0   0.604664  0.395336\n","1   0.458916  0.541084\n","2   0.717986  0.282014\n","3   0.679109  0.320891\n","4   0.664739  0.335261\n","5   0.562775  0.437225\n","6   0.662054  0.337946\n","7   0.355167  0.644833\n","8   0.381606  0.618394\n","9   0.585284  0.414716\n","10  0.501493  0.498507"]},"metadata":{"tags":[]},"execution_count":32}]},{"metadata":{"id":"wUqCf87xk5AW","colab_type":"code","colab":{}},"cell_type":"code","source":["#手动调节阈值，来改变我们的模型效果\n","for i in range(prob.shape[0]):\n","    if prob.loc[i,\"one\"] > 0.5:\n","        prob.loc[i,\"pred\"] = 1\n","    else:\n","        prob.loc[i,\"pred\"] = 0"],"execution_count":0,"outputs":[]},{"metadata":{"id":"GeTGpbhzk5AX","colab_type":"code","colab":{}},"cell_type":"code","source":["prob[\"y_true\"] = y_"],"execution_count":0,"outputs":[]},{"metadata":{"id":"dOqPPeBitD0a","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":390},"outputId":"d451f132-21a6-4dee-d31f-8feaa6e824e5","executionInfo":{"status":"ok","timestamp":1546736918841,"user_tz":-480,"elapsed":853,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["prob"],"execution_count":35,"outputs":[{"output_type":"execute_result","data":{"text/html":["<div>\n","<style scoped>\n","    .dataframe tbody tr th:only-of-type {\n","        vertical-align: middle;\n","    }\n","\n","    .dataframe tbody tr th {\n","        vertical-align: top;\n","    }\n","\n","    .dataframe thead th {\n","        text-align: right;\n","    }\n","</style>\n","<table border=\"1\" class=\"dataframe\">\n","  <thead>\n","    <tr style=\"text-align: right;\">\n","      <th></th>\n","      <th>zero</th>\n","      <th>one</th>\n","      <th>pred</th>\n","      <th>y_true</th>\n","    </tr>\n","  </thead>\n","  <tbody>\n","    <tr>\n","      <th>0</th>\n","      <td>0.604664</td>\n","      <td>0.395336</td>\n","      <td>0.0</td>\n","      <td>0</td>\n","    </tr>\n","    <tr>\n","      <th>1</th>\n","      <td>0.458916</td>\n","      <td>0.541084</td>\n","      <td>1.0</td>\n","      <td>0</td>\n","    </tr>\n","    <tr>\n","      <th>2</th>\n","      <td>0.717986</td>\n","      <td>0.282014</td>\n","      <td>0.0</td>\n","      <td>0</td>\n","    </tr>\n","    <tr>\n","      <th>3</th>\n","      <td>0.679109</td>\n","      <td>0.320891</td>\n","      <td>0.0</td>\n","      <td>0</td>\n","    </tr>\n","    <tr>\n","      <th>4</th>\n","      <td>0.664739</td>\n","      <td>0.335261</td>\n","      <td>0.0</td>\n","      <td>0</td>\n","    </tr>\n","    <tr>\n","      <th>5</th>\n","      <td>0.562775</td>\n","      <td>0.437225</td>\n","      <td>0.0</td>\n","      <td>0</td>\n","    </tr>\n","    <tr>\n","      <th>6</th>\n","      <td>0.662054</td>\n","      <td>0.337946</td>\n","      <td>0.0</td>\n","      <td>0</td>\n","    </tr>\n","    <tr>\n","      <th>7</th>\n","      <td>0.355167</td>\n","      <td>0.644833</td>\n","      <td>1.0</td>\n","      <td>1</td>\n","    </tr>\n","    <tr>\n","      <th>8</th>\n","      <td>0.381606</td>\n","      <td>0.618394</td>\n","      <td>1.0</td>\n","      <td>1</td>\n","    </tr>\n","    <tr>\n","      <th>9</th>\n","      <td>0.585284</td>\n","      <td>0.414716</td>\n","      <td>0.0</td>\n","      <td>1</td>\n","    </tr>\n","    <tr>\n","      <th>10</th>\n","      <td>0.501493</td>\n","      <td>0.498507</td>\n","      <td>0.0</td>\n","      <td>1</td>\n","    </tr>\n","  </tbody>\n","</table>\n","</div>"],"text/plain":["        zero       one  pred  y_true\n","0   0.604664  0.395336   0.0       0\n","1   0.458916  0.541084   1.0       0\n","2   0.717986  0.282014   0.0       0\n","3   0.679109  0.320891   0.0       0\n","4   0.664739  0.335261   0.0       0\n","5   0.562775  0.437225   0.0       0\n","6   0.662054  0.337946   0.0       0\n","7   0.355167  0.644833   1.0       1\n","8   0.381606  0.618394   1.0       1\n","9   0.585284  0.414716   0.0       1\n","10  0.501493  0.498507   0.0       1"]},"metadata":{"tags":[]},"execution_count":35}]},{"metadata":{"id":"3GAVQcnBk5Aa","colab_type":"code","colab":{}},"cell_type":"code","source":["prob = prob.sort_values(by=\"one\",ascending=False)\n","# 排序"],"execution_count":0,"outputs":[]},{"metadata":{"id":"ojIWJhn4k5Ab","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":390},"outputId":"6e3af37d-b773-4852-88e9-47deb5a3b3bd","executionInfo":{"status":"ok","timestamp":1546736985079,"user_tz":-480,"elapsed":978,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["prob"],"execution_count":37,"outputs":[{"output_type":"execute_result","data":{"text/html":["<div>\n","<style scoped>\n","    .dataframe tbody tr th:only-of-type {\n","        vertical-align: middle;\n","    }\n","\n","    .dataframe tbody tr th {\n","        vertical-align: top;\n","    }\n","\n","    .dataframe thead th {\n","        text-align: right;\n","    }\n","</style>\n","<table border=\"1\" class=\"dataframe\">\n","  <thead>\n","    <tr style=\"text-align: right;\">\n","      <th></th>\n","      <th>zero</th>\n","      <th>one</th>\n","      <th>pred</th>\n","      <th>y_true</th>\n","    </tr>\n","  </thead>\n","  <tbody>\n","    <tr>\n","      <th>7</th>\n","      <td>0.355167</td>\n","      <td>0.644833</td>\n","      <td>1.0</td>\n","      <td>1</td>\n","    </tr>\n","    <tr>\n","      <th>8</th>\n","      <td>0.381606</td>\n","      <td>0.618394</td>\n","      <td>1.0</td>\n","      <td>1</td>\n","    </tr>\n","    <tr>\n","      <th>1</th>\n","      <td>0.458916</td>\n","      <td>0.541084</td>\n","      <td>1.0</td>\n","      <td>0</td>\n","    </tr>\n","    <tr>\n","      <th>10</th>\n","      <td>0.501493</td>\n","      <td>0.498507</td>\n","      <td>0.0</td>\n","      <td>1</td>\n","    </tr>\n","    <tr>\n","      <th>5</th>\n","      <td>0.562775</td>\n","      <td>0.437225</td>\n","      <td>0.0</td>\n","      <td>0</td>\n","    </tr>\n","    <tr>\n","      <th>9</th>\n","      <td>0.585284</td>\n","      <td>0.414716</td>\n","      <td>0.0</td>\n","      <td>1</td>\n","    </tr>\n","    <tr>\n","      <th>0</th>\n","      <td>0.604664</td>\n","      <td>0.395336</td>\n","      <td>0.0</td>\n","      <td>0</td>\n","    </tr>\n","    <tr>\n","      <th>6</th>\n","      <td>0.662054</td>\n","      <td>0.337946</td>\n","      <td>0.0</td>\n","      <td>0</td>\n","    </tr>\n","    <tr>\n","      <th>4</th>\n","      <td>0.664739</td>\n","      <td>0.335261</td>\n","      <td>0.0</td>\n","      <td>0</td>\n","    </tr>\n","    <tr>\n","      <th>3</th>\n","      <td>0.679109</td>\n","      <td>0.320891</td>\n","      <td>0.0</td>\n","      <td>0</td>\n","    </tr>\n","    <tr>\n","      <th>2</th>\n","      <td>0.717986</td>\n","      <td>0.282014</td>\n","      <td>0.0</td>\n","      <td>0</td>\n","    </tr>\n","  </tbody>\n","</table>\n","</div>"],"text/plain":["        zero       one  pred  y_true\n","7   0.355167  0.644833   1.0       1\n","8   0.381606  0.618394   1.0       1\n","1   0.458916  0.541084   1.0       0\n","10  0.501493  0.498507   0.0       1\n","5   0.562775  0.437225   0.0       0\n","9   0.585284  0.414716   0.0       1\n","0   0.604664  0.395336   0.0       0\n","6   0.662054  0.337946   0.0       0\n","4   0.664739  0.335261   0.0       0\n","3   0.679109  0.320891   0.0       0\n","2   0.717986  0.282014   0.0       0"]},"metadata":{"tags":[]},"execution_count":37}]},{"metadata":{"id":"H7GlnKlSk5Ae","colab_type":"code","colab":{}},"cell_type":"code","source":["from sklearn.metrics import confusion_matrix as CM, precision_score as P, recall_score as R"],"execution_count":0,"outputs":[]},{"metadata":{"id":"Ifp9Ownpk5Ah","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":51},"outputId":"2c5aa790-305a-4ba7-d3f0-aac2b81ba6d4","executionInfo":{"status":"ok","timestamp":1546737039419,"user_tz":-480,"elapsed":691,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["CM(prob.loc[:,\"y_true\"],prob.loc[:,\"pred\"],labels=[1,0])\n","# 少数类写在前面"],"execution_count":39,"outputs":[{"output_type":"execute_result","data":{"text/plain":["array([[2, 2],\n","       [1, 6]])"]},"metadata":{"tags":[]},"execution_count":39}]},{"metadata":{"id":"Jiou9r52k5Ak","colab_type":"code","colab":{}},"cell_type":"code","source":["#试试看手动计算Precision和Recall?"],"execution_count":0,"outputs":[]},{"metadata":{"id":"llG4A9RTk5Al","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":34},"outputId":"a312501f-daf6-4fcc-f8de-d6d75da45f75","executionInfo":{"status":"ok","timestamp":1546737107248,"user_tz":-480,"elapsed":714,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["2/3"],"execution_count":40,"outputs":[{"output_type":"execute_result","data":{"text/plain":["0.6666666666666666"]},"metadata":{"tags":[]},"execution_count":40}]},{"metadata":{"id":"Af9LlFT0k5Au","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":34},"outputId":"da9361ab-c189-41a3-a744-ab5880ad9291","executionInfo":{"status":"ok","timestamp":1546737157766,"user_tz":-480,"elapsed":844,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["2/4"],"execution_count":43,"outputs":[{"output_type":"execute_result","data":{"text/plain":["0.5"]},"metadata":{"tags":[]},"execution_count":43}]},{"metadata":{"id":"_ykcfKt9k5Ax","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":34},"outputId":"3985b405-d22a-4d94-fea5-67e338a27299","executionInfo":{"status":"ok","timestamp":1546737113134,"user_tz":-480,"elapsed":734,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["P(prob.loc[:,\"y_true\"],prob.loc[:,\"pred\"],labels=[1,0])"],"execution_count":41,"outputs":[{"output_type":"execute_result","data":{"text/plain":["0.6666666666666666"]},"metadata":{"tags":[]},"execution_count":41}]},{"metadata":{"id":"CDvfwzKHk5A1","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":34},"outputId":"e39235de-24a7-41c0-afe4-668082eb5c98","executionInfo":{"status":"ok","timestamp":1546737150576,"user_tz":-480,"elapsed":724,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["R(prob.loc[:,\"y_true\"],prob.loc[:,\"pred\"],labels=[1,0])"],"execution_count":42,"outputs":[{"output_type":"execute_result","data":{"text/plain":["0.5"]},"metadata":{"tags":[]},"execution_count":42}]},{"metadata":{"id":"8F6dqlzEk5A7","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":390},"outputId":"11e4d289-cf1a-4f1c-fd81-321c7fc27b18","executionInfo":{"status":"ok","timestamp":1546737162013,"user_tz":-480,"elapsed":736,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["prob"],"execution_count":44,"outputs":[{"output_type":"execute_result","data":{"text/html":["<div>\n","<style scoped>\n","    .dataframe tbody tr th:only-of-type {\n","        vertical-align: middle;\n","    }\n","\n","    .dataframe tbody tr th {\n","        vertical-align: top;\n","    }\n","\n","    .dataframe thead th {\n","        text-align: right;\n","    }\n","</style>\n","<table border=\"1\" class=\"dataframe\">\n","  <thead>\n","    <tr style=\"text-align: right;\">\n","      <th></th>\n","      <th>zero</th>\n","      <th>one</th>\n","      <th>pred</th>\n","      <th>y_true</th>\n","    </tr>\n","  </thead>\n","  <tbody>\n","    <tr>\n","      <th>7</th>\n","      <td>0.355167</td>\n","      <td>0.644833</td>\n","      <td>1.0</td>\n","      <td>1</td>\n","    </tr>\n","    <tr>\n","      <th>8</th>\n","      <td>0.381606</td>\n","      <td>0.618394</td>\n","      <td>1.0</td>\n","      <td>1</td>\n","    </tr>\n","    <tr>\n","      <th>1</th>\n","      <td>0.458916</td>\n","      <td>0.541084</td>\n","      <td>1.0</td>\n","      <td>0</td>\n","    </tr>\n","    <tr>\n","      <th>10</th>\n","      <td>0.501493</td>\n","      <td>0.498507</td>\n","      <td>0.0</td>\n","      <td>1</td>\n","    </tr>\n","    <tr>\n","      <th>5</th>\n","      <td>0.562775</td>\n","      <td>0.437225</td>\n","      <td>0.0</td>\n","      <td>0</td>\n","    </tr>\n","    <tr>\n","      <th>9</th>\n","      <td>0.585284</td>\n","      <td>0.414716</td>\n","      <td>0.0</td>\n","      <td>1</td>\n","    </tr>\n","    <tr>\n","      <th>0</th>\n","      <td>0.604664</td>\n","      <td>0.395336</td>\n","      <td>0.0</td>\n","      <td>0</td>\n","    </tr>\n","    <tr>\n","      <th>6</th>\n","      <td>0.662054</td>\n","      <td>0.337946</td>\n","      <td>0.0</td>\n","      <td>0</td>\n","    </tr>\n","    <tr>\n","      <th>4</th>\n","      <td>0.664739</td>\n","      <td>0.335261</td>\n","      <td>0.0</td>\n","      <td>0</td>\n","    </tr>\n","    <tr>\n","      <th>3</th>\n","      <td>0.679109</td>\n","      <td>0.320891</td>\n","      <td>0.0</td>\n","      <td>0</td>\n","    </tr>\n","    <tr>\n","      <th>2</th>\n","      <td>0.717986</td>\n","      <td>0.282014</td>\n","      <td>0.0</td>\n","      <td>0</td>\n","    </tr>\n","  </tbody>\n","</table>\n","</div>"],"text/plain":["        zero       one  pred  y_true\n","7   0.355167  0.644833   1.0       1\n","8   0.381606  0.618394   1.0       1\n","1   0.458916  0.541084   1.0       0\n","10  0.501493  0.498507   0.0       1\n","5   0.562775  0.437225   0.0       0\n","9   0.585284  0.414716   0.0       1\n","0   0.604664  0.395336   0.0       0\n","6   0.662054  0.337946   0.0       0\n","4   0.664739  0.335261   0.0       0\n","3   0.679109  0.320891   0.0       0\n","2   0.717986  0.282014   0.0       0"]},"metadata":{"tags":[]},"execution_count":44}]},{"metadata":{"id":"WProiXjjk5A_","colab_type":"code","colab":{}},"cell_type":"code","source":["for i in range(prob.shape[0]):\n","    if prob.loc[i,\"one\"] > 0.4:\n","        prob.loc[i,\"pred\"] = 1\n","    else:\n","        prob.loc[i,\"pred\"] = 0"],"execution_count":0,"outputs":[]},{"metadata":{"id":"332bt-zwuLFE","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":390},"outputId":"e50368ab-1c87-4c4c-f039-95c869df517d","executionInfo":{"status":"ok","timestamp":1546737212426,"user_tz":-480,"elapsed":978,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["prob"],"execution_count":46,"outputs":[{"output_type":"execute_result","data":{"text/html":["<div>\n","<style scoped>\n","    .dataframe tbody tr th:only-of-type {\n","        vertical-align: middle;\n","    }\n","\n","    .dataframe tbody tr th {\n","        vertical-align: top;\n","    }\n","\n","    .dataframe thead th {\n","        text-align: right;\n","    }\n","</style>\n","<table border=\"1\" class=\"dataframe\">\n","  <thead>\n","    <tr style=\"text-align: right;\">\n","      <th></th>\n","      <th>zero</th>\n","      <th>one</th>\n","      <th>pred</th>\n","      <th>y_true</th>\n","    </tr>\n","  </thead>\n","  <tbody>\n","    <tr>\n","      <th>7</th>\n","      <td>0.355167</td>\n","      <td>0.644833</td>\n","      <td>1.0</td>\n","      <td>1</td>\n","    </tr>\n","    <tr>\n","      <th>8</th>\n","      <td>0.381606</td>\n","      <td>0.618394</td>\n","      <td>1.0</td>\n","      <td>1</td>\n","    </tr>\n","    <tr>\n","      <th>1</th>\n","      <td>0.458916</td>\n","      <td>0.541084</td>\n","      <td>1.0</td>\n","      <td>0</td>\n","    </tr>\n","    <tr>\n","      <th>10</th>\n","      <td>0.501493</td>\n","      <td>0.498507</td>\n","      <td>1.0</td>\n","      <td>1</td>\n","    </tr>\n","    <tr>\n","      <th>5</th>\n","      <td>0.562775</td>\n","      <td>0.437225</td>\n","      <td>1.0</td>\n","      <td>0</td>\n","    </tr>\n","    <tr>\n","      <th>9</th>\n","      <td>0.585284</td>\n","      <td>0.414716</td>\n","      <td>1.0</td>\n","      <td>1</td>\n","    </tr>\n","    <tr>\n","      <th>0</th>\n","      <td>0.604664</td>\n","      <td>0.395336</td>\n","      <td>0.0</td>\n","      <td>0</td>\n","    </tr>\n","    <tr>\n","      <th>6</th>\n","      <td>0.662054</td>\n","      <td>0.337946</td>\n","      <td>0.0</td>\n","      <td>0</td>\n","    </tr>\n","    <tr>\n","      <th>4</th>\n","      <td>0.664739</td>\n","      <td>0.335261</td>\n","      <td>0.0</td>\n","      <td>0</td>\n","    </tr>\n","    <tr>\n","      <th>3</th>\n","      <td>0.679109</td>\n","      <td>0.320891</td>\n","      <td>0.0</td>\n","      <td>0</td>\n","    </tr>\n","    <tr>\n","      <th>2</th>\n","      <td>0.717986</td>\n","      <td>0.282014</td>\n","      <td>0.0</td>\n","      <td>0</td>\n","    </tr>\n","  </tbody>\n","</table>\n","</div>"],"text/plain":["        zero       one  pred  y_true\n","7   0.355167  0.644833   1.0       1\n","8   0.381606  0.618394   1.0       1\n","1   0.458916  0.541084   1.0       0\n","10  0.501493  0.498507   1.0       1\n","5   0.562775  0.437225   1.0       0\n","9   0.585284  0.414716   1.0       1\n","0   0.604664  0.395336   0.0       0\n","6   0.662054  0.337946   0.0       0\n","4   0.664739  0.335261   0.0       0\n","3   0.679109  0.320891   0.0       0\n","2   0.717986  0.282014   0.0       0"]},"metadata":{"tags":[]},"execution_count":46}]},{"metadata":{"id":"g8rshT2Fk5BB","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":51},"outputId":"91151f4a-79fe-4d68-87f4-4390a57442a3","executionInfo":{"status":"ok","timestamp":1546737222396,"user_tz":-480,"elapsed":747,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["CM(prob.loc[:,\"y_true\"],prob.loc[:,\"pred\"],labels=[1,0])"],"execution_count":47,"outputs":[{"output_type":"execute_result","data":{"text/plain":["array([[4, 0],\n","       [2, 5]])"]},"metadata":{"tags":[]},"execution_count":47}]},{"metadata":{"id":"0UydZZK9k5BH","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":34},"outputId":"c750b784-6857-494a-b1a3-d2bf08a6ca4e","executionInfo":{"status":"ok","timestamp":1546737225132,"user_tz":-480,"elapsed":553,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["P(prob.loc[:,\"y_true\"],prob.loc[:,\"pred\"],labels=[1,0])"],"execution_count":48,"outputs":[{"output_type":"execute_result","data":{"text/plain":["0.6666666666666666"]},"metadata":{"tags":[]},"execution_count":48}]},{"metadata":{"id":"RgYsqUvBk5BK","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":34},"outputId":"5eee450c-14eb-4af9-991f-43e29bf79e65","executionInfo":{"status":"ok","timestamp":1546737229835,"user_tz":-480,"elapsed":820,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["R(prob.loc[:,\"y_true\"],prob.loc[:,\"pred\"],labels=[1,0])"],"execution_count":49,"outputs":[{"output_type":"execute_result","data":{"text/plain":["1.0"]},"metadata":{"tags":[]},"execution_count":49}]},{"metadata":{"id":"7meeJ05Fk5BP","colab_type":"code","colab":{}},"cell_type":"code","source":["#注意，降低或者升高阈值并不一定能够让模型的效果变好，一切都基于我们要追求怎样的模型效果\n","#通常来说，降低阈值能够升高Recall"],"execution_count":0,"outputs":[]},{"metadata":{"id":"yhFtWwJ3wrWu","colab_type":"text"},"cell_type":"markdown","source":["## 2SVM实现概率预测：重要参数probability"]},{"metadata":{"id":"3xIpKMyCk5BT","colab_type":"code","colab":{}},"cell_type":"code","source":["#使用最初的X和y，样本不均衡的这个模型\n","\n","class_1 = 500 #类别1有500个样本\n","class_2 = 50 #类别2只有50个\n","centers = [[0.0, 0.0], [2.0, 2.0]] #设定两个类别的中心\n","clusters_std = [1.5, 0.5] #设定两个类别的方差，通常来说，样本量比较大的类别会更加松散\n","X, y = make_blobs(n_samples=[class_1, class_2],\n","                  centers=centers,\n","                  cluster_std=clusters_std,\n","                  random_state=0, shuffle=False)"],"execution_count":0,"outputs":[]},{"metadata":{"id":"ElltiQtyk5BV","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":364},"outputId":"6fe8a6ee-120d-4287-d57c-9cbd0fc9a707","executionInfo":{"status":"ok","timestamp":1546737895011,"user_tz":-480,"elapsed":1120,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["#看看数据集长什么样\n","plt.scatter(X[:, 0], X[:, 1], c=y, cmap=\"rainbow\",s=10)\n","#其中红色点是少数类，紫色点是多数类"],"execution_count":51,"outputs":[{"output_type":"execute_result","data":{"text/plain":["<matplotlib.collections.PathCollection at 0x7fc29a554cf8>"]},"metadata":{"tags":[]},"execution_count":51},{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAd8AAAFKCAYAAABcq1WoAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nMXr1xurWrYF7I2kIpPhKwoIVEhgliyJLh1BB+PahBt6kU5QuK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BVX1+g9wWlXloYqNQcK\n3vkQ7wfvog8dXiFGWVI1dRbfOXPmkJuby7333lv6u2effZZOnTqFpWGSlscZD0NeRhB/jmDojKoH\n4d7TTKD6AdS24ac/ucndqdDzEoO+V1Y0VR1ZpWKbgmC+IP1HjV6X1X1QVl0w7g9OmxMS3ZWacWvL\nqr+5WfOCG6HA6N8HGXJHM3NOChOKRkVTbJiJbk+VpuZwYnZIwlZVhGlixTmuzfF9bc5+ofKJnfub\n2cT85j5EwI+2+AeW/mI5ncaYxPev+fQtNPni2je0mQgvgB3XBv8ddzd1M1ocdRbfq666iquukiWr\nJGWoLjjtifAMkDs/0Vj/shtsQfYWhZSLjQrm4C5nmmRvUnHF2JxybvPaRwLIXKtghZxBMmONCrRO\n8W1NBK+7AVFYiJaWiu/GW054vLo3FRFwtldCu3P48SGNiI4eJr/nIyEcmagkrRaZ4UrSLFE8IFSw\nDSeDEpVM9Ef9LkSvy3U8MVSaLKGp6XqeweGVKkKlWU4OJJUgBIE77qrx4f4bb8G1Yjlibxqr0qZj\n6S6KD0P6Mo2EgU072RLZ2XhnfeSkjxw6vEnbIqmIFF9JsyRlikHe7hBHtymkTNWrdORp27P5ie4x\nBt5o0ONCEyHCNznI2SbI2qjQ6zKzXGUhSUUOLlVJX6LS/UKd9oMb6DmJiKDg7Q+wbci4y4N7rkVc\nikWvafUUXl1Hyc7C6pAESh0qClkWcddfhWvNKsz27Sl472OMIcPq1yZJWJHiK2mWCAEjH6iZCTtn\nm7Pn2/syvc4pFqvjwGKVre+6iOlqMfbRUK1q3kZ1CN+gnzZPZe6NXixd8NMTNtNXFuNqBnl3myN5\newTf3e7Fn6mw61ONK+b78MSe+H11RQg4+6Ug+sZduDpGIRLqkXmqqJC4ay5H27AeffyZTnKJWiaW\nEMVFKKm7AVAzM9FWLJfi28yQRRolLZqcHYLZ10aw9GEvs6+NwKrCumsZsPNTjayNtXNUsW1Y+piH\nPV+6WP+Sm81vOctNvRj82Y3r9LL3WxVLVwCBP1shdY6cO5diWU72oxJydyn4M53hrTBdaZTPKuqZ\nP9PpohHEnzOGuPMn0Oa88Xg+fK/W5/HMm4t7xU8oAT/uBd+j7N9X63PYMbGEJk/BjI9HHzma4FXX\n1PockoZFiq+kRXP4J43idGdVkLtTJZBb+SD7/V0evr89gi+viCRtXi0zrZVG1ggsAw4tV5l5ViTv\nj4lk1V+ryIzUAPS61ECozkpai7ToOKaid3f2FsHi33rY8Jrr+GRKtWLj6xpzb/Sy6b8tQ9y1ZUtp\ne+YY2o4eguej9wE45TyTlKkh4nqY9LtWJ657+CwQWZsFix7wsPbF4+6xbeNevAARDKBmZOBetxbX\nhvVEvPpSteeqjNCYcRg9egJOHLDVsW4RJEV/f5GjqzeTN3sedpu2tXuzbSMyMiDUvEtEtmRaxrdL\nclJxZLXCwSUaKRfrtEmpftCxoampAAAgAElEQVRMuVRn5ycaR3cqnHKOQURC5cfnbHYEN5ircGi5\nWuNEHELAmEeDbH3PRUxnm4E36fz4BzcFac759s7TGPmbEw9QeXsFix/0ohfBiPtDdDu/9mFRQgHF\nC2axs4dcWZKShfd6ydqgITSbhM6QXMtUj9lbBMuf9GL4BQcWaXQ5q5g23cInXEYAQgUirA5y3g/f\nR9ux3Xn98YcEr74ORYWJr9Uw7tvnQ+ihGpeoW/yAl8x1Gig2ke48Rs+7GjUtDattG2whsD0eRCCA\nAOy2P9sHKS5GObAfq3OXKsOF7E7J5H/8Oa4fFhK6cIqTM7muRFWedvRERN91G56vv8LsmUL+B59g\nd0iqexsklSLFV9KsyN0t+PamCIqPKOz6n8bl3/rKZZ/6Od44mPql3ynu3qbq8Meu5xgUHFCITrLo\neXHtnGG6X2DS/YIysUwaYbJ9po1eKEjoVzMRXf+ym/Qlztdt3b+g2/m1T8GYu0vBLHY6GMwXGH5Q\nj1t42zYES6r32Iag8FCtLwF22Q20bU4Ujl0rcrYL5t0SQdFBhX7XhTj9yfqvqmwbcj298SoqwjIx\nu3Wv1fu1HxYR88A9iMJCfHffR2BGWbJxcSgdz3dzoagI9cgR/L+4CSulF6HCkntkCRLmv4l7yWLn\nZz1I/tsfYCV3wfXTj6gH9uG/5Y7S8yk7tsMtN9AuNZXAFddQ9PyLVbbL6noKwem/rFVfwkZxMe4F\n36H4ilE2bcD76Sz8tfAAl9QMKb6SZkXWRpXiI85uSP5eBX+OwBVV+Spp/SsuMter9LhQJ+WS6lXi\ntCdCDL5dxxNj19tJqddlJtHJPgr2K/S6rGYhRMeX3/O2q9uqr981BgeX6ORsVcCGuTd7GfFrneQz\nnL4LAcPuDrHtfRfRyTZj7nWRV1S7ayScajHqt0HSl6t0PsMon3qxnuz+zEXuDsdikDZPC4v4Ln/S\nzfr3H2WQuwenXpRJ3HM31ur9ni/+h7YvzXn9zexS8RV5ubS5cirazh3YOJFu2qoV5M9dwPD7Qmx5\nx0V0R5v2lw/AWhODUliI2akz+vkXghCYAyuWFvR89Tls344A3IsXODOHmibLsG1EYQF2TGzDJ9iI\njMTs0w912VLMjh0JnV6DghGSWiPFV9Ks6DnZYNd5OtmbFTqfaRLTpfLBf/8ClRVPezCDgkPLVLpM\nKMYTV+mhpUR3DJ+QdBxt0XF0zVNGjngghOqBYC4Mu6duoqO64YI3AvzwkJvNb3rI36NiG4LkM8pW\n0f2nG/Sf7kwIXBEuqKX4AgyZoTNkRvXWgcBRWPKIByMgGPmbIAk1yOjUaZzJlrctAkcV2vUNT7pN\nJ8uZwgZzOkFXiLO12qUYNQYPw/7kYwj4MY9LDalt2Yy2cwdQFmKuHM0B26bPFQZ9rnDuscXZFPz7\nTbR1awlcd0O1wqifcSa88yYcOYJx6sCai6iuE3vjdY7H8rDhFLz3MbhqHmdm6rDqOTeBo4Jhd4eI\nPdE2ghDkv/cx3s8+ITRqDFaf2qXMlNQMKb6SBiHtO5WsDSr9p+uobpsds1wkjzNIOLX6L77qgcnv\nB7Atqg3pMQOUejZbulMuLhwUZwq2vw5RvVW6nBk+m6uiwvBfh8d55fiSdg1RBMIMweLfeihKFwy4\nQafnxRXvw4pn3Oz6n2PzNgNw0YeBE563y5kmF830k71Foc+08CQd6TzeIHO9iivKpus5tT9n8Orr\ncP20FJGXT/FjT5T+Xh8xiuD4CbhWLMeOjsJK6lS5uFoWSlYW5sBB2J2Sq72WMXosLFpEwaIfCV50\nSY3bqK1fh2feXADUhfNxz/yA0PRf1Pj9a553s/YfTrL1woMKF8+swZZHdDSB62tnRZDUDim+krCz\nf4HKd7dHoBcK9s1XEUDGGo2ojhaTP/CRMODEq6QTxdJ2m2QyZEaI7E0K3S4w6hXfW7BPEDgqSBhs\nMfdGLxmrwB3n5fz/BCoti9jUjPxtCMty9n3DJejHs/E1F9s/cIS1+LBCz4srln08/vMJ5NXcDNp+\nsEX7weErMjHyQZ1elxm4ouoWUx315ONE/O8T54eHHqTwlTec1x4PBTM/cxJdJCRWGWcb9dCDRLz1\nBng8FD32JwK33lHpcaX06UOwXe28l83evbFdLoTuWCO07VupzaceKih7rYe3smujYdtwYKGCOxaS\nRrSOIiVSfCVhJ2uzgl7ilFJ0UGD4ndfFhxUO/aSRMKD+afeEgLGP1l94UueoLLrfS7BAMPCmEIUH\nHFUJ5StkrVfCJr6b39LY8Kobbzubc14K0KZH3U3gqrusCERDoEUCJTudShWRVIPv0Nn2oQvTr5Cf\nqpC/TxB3SnjM+lkbFYTi7D/XhPrcS5GTU/Y6L7f8H1XVyTBVDdpOZw+XYBBt08Y6tUHJOIIVGwcR\nlZsx7Lg2hM4Yj2fBfMzYOPSzz63V+YfdG6LwoEKoQNR5y6OpWf6km/Uvu1HdcNqfAgz4RctP1yrF\nVxJ2Blyvc2ChRuF+Qco0A98hwd5vNdr2suhdknav6LAgd5cgeZyF0oRP4YFFGoGjjuAeWa3Se5rO\nni88RHcx6H99+HLzbn3XTX6qSn4qbH7TFRZno4bi1F/q+LMEBfsVBtxQeTv1YlFaNCKYKyjcHx7x\nXf8vF8uf8aAoMPrhIINva9j8yL4Zv0Y9lA56CN+Me0/8hp8RvORS1N27sCMjCU67otbvj3roQbwf\nvY/VuTP5b7xTZUnCgnc/xvPpJ5h9+2EMHlqra0QmwKS3TrwtoPtg3b/cRLS1OfUmvVaZ3BqazPVO\nBTPDD4dXalJ8JZLK8LaFqZ/5S505bRuC+UHcMc7eZ+YGwdxfRlCUrtLzYp3z/3PigaGh6HqWwZ4v\nNYIFgo6jTcY9HmLKPz1k59Q+FKg6ojpZZG9SES6btiknXtHZFuybrxKTbNWqPF04EIpTtKI64vtZ\n9J+uc+gnlfbDTJJPq78pMJAPa190YwUFFnB4udrg4mv1H0D+Z1/X+f2BG28hcOW1oGngqaKIdTW4\n589zQnp27sDz5Wf4q6oH7HIRvOraOrezJiy818vuz10gbEKFguH3NZ8J4ilnG2SuU9EibLpNbB3V\nwaT4lmCZsP5lF6ECwdB7QnhimrpFzZvMDYKt77pp09Ni8O16pY6bx34nhFO4/Bj7v3dRVJKVKmOt\nUquIi3DTfZJJ/EAfgRxRuhfZEDP+c18OsPHfFjFdLPpedeJZ++LfeNj6rgtPnM2E5wP0vKh+5u/1\nL7vI3KDSc7JOzyn1N6ULAWf+tXaexSdi69uuUisE2HQ6rfr7tH+hyvYPXbRJsRj5m1DdnyGfD/XA\nfsyeKY6I1pYaJLIQWVng9UBi+YHF7NcfbV8aZnwC+pjTan/tMFJ8pOQG2oKCA82nXjA4Hvgplxmo\nboiIb77FVGqDFN8SVv3VzZq/OzPX/H0K57/WdKuxlsCi+yOclZxq42lr0+/qqgfKzA2Cre+4ietp\nMeQOnW4X6Gz7UKNwv0LHMWaT1wWP7WwT27lhv9CemNoVg89c79RRDOY7oVT1Ed/981VW/MUJyzq8\nXKXLWcW4m+HkMuFUC1eMk7wk/lSTgTdX/UzZFix9xEPebhUUm5guFv2uqb0pUhw9StyVl6Bt3EDo\nnPOcMJ5aFjE4EREvPk/kP/+OHRUNr78GI8viZgveeAfP/z7GGDAQc9BgbBsW3ush/UeVDsNMzn0l\n6JTUbAROvSlEMF+gRdoMvLn5rHqPEc5QweaAFN8SSmd9QKCRE+a3NGwbQiXxo7Yp8GdVf7+OF2pv\nO0eor/jOSVKROLByc2VeqmDHTBcdhps1TgXZmugywSB3l4K3rVUuu1ZN2P2FypE1KmNuAa0L6P6y\nsCwzRJXFJ2rCgR9UVjzpRmhw2p+DJA0Pn+dp17NNznvFT9ZGJ0StukmZbR/XD0uw42ONlEsMXJG1\nu6Z77te4Nm5wXv+4BOXIYazkznXrQFXXmPcNSn4+5OfDZ5+VE1/cboLXTC/98eh2he0zXWAJCver\n9L1ap+vZjePd22uqSa+pLdQdugUixbeEwbeFyE9V0P2Cwbc1v1lfU2H4YfXzbidO9V4nUYQQTqKI\n7R+4iO5sMeiWqvdgqhJqb1vwtq18ULFM+PaWCHI2qbhjLS54K0Dn01uvAFsmrHzGTXGG8+wlDLAZ\n+1iI/jfoeOLscib7E5G+VGHhfRHoRYJDi2Had9BjssmQO0Nkb1boPsnAW8sc+8ez8d8uMtc7w8bG\n12yS/h1eC1G3iZVPtnQ/bHrDRds+Fp3PMFFUGP37IEsf9eDPUjn0o4vlT1qc8XTtvruhCWdjpPRC\n270LffBQrPYdwtWVUowBg3CtXIEdEYkyenS1x0Z1tIjpbFG4XyUqyTphbnNJy0WKbwnx/Wwu/TK8\nTjatgR9+7ymN+QzkwvhnnMGt/3UG/a+rfgl1bPV6ynkGWettYo4Tal8m/PgnDxkrVaI62AyZESpd\n4ZkBKD7kiHSoQOHoNqVVi+/6l12lSRDyUxUum+08h3XxHs7bq6AXlYR2ZTqFDDxuGP1wKCzmy4jj\n0mRGdmi8eMtZV8POL724Ym3O+aefHhea9LrUZMfHFvvnOx3Ti2tvsbI7JZP3+Tdoq1agTzi7Vpmj\nakrxX/6KPu40rIRE2l4yCbIKS/9m6rDxujWY+3Nw3TiJwbeZXPCmn73fuOhylkFsVym+rRUpvpJq\nCeSUDWj+nJp7IlkmfPurCHI2O6vXSe/4SR5XNlgvfbTEsxIoSAPdL+h+gWPyckVBv+t09nyl0aan\nRb/rWod3Y1UcE0sAI1i/LY++Vxmk/6BzdJfCwCtUzCB8elEEhQcEvS83GPtY/aw6458JEt3JRnHD\n0BmNZyHKcTI9ohcIMtaq9LjQmYyNfDCIbTqZ0UbcX7f22O3bo0++OFxNrYgQhKZcWumfcu9+jzMX\n/QYXftb+5S7MXz5J4iCbxEHS+tbakeIrqZYhd+oEjgpQYMgdNfduNf3lV685W9Ry4mv87FSuyPIz\n/LGPhsKSRKMlMOyeEAX7BL5sweBb6zfRUN0w8XXHFJyYGMPcR9wcWel8zXf+D8Y8EqqXN7fmhVG/\nbfzPZcAVsPJVi6gONn2uKLtHHYbbXPxxy3WOjM9ajodiAJLsdQgNvP99Hfec2Rj9B+L7458RRYUQ\n0rHj45u4tZJwIsVXUi2dxppc9nXtzfGuaOg3XSd1tkZcj4qr11G/C2KFID9NIWGAxYgHwxu20hxY\n9y8XW952Edne5rzXAsR0qtyE6IqC814Nb/9NHb68BQ6s1FC9FmZAIaaL3SBhVGYIitIF0Z1t1PBb\nbQE468/Q5+ZiVC+N5v3bGLhvm0xg4/coviLUq89DLcwl8rm/oOZk416yGFsVRHw6C3w+fPf9hoAs\n7ddqkOIraTCqW70m9LdrlIy/JbPtfRcFaSoFabDlLRdjHm68FePG112sewNAJaqjyYBfBqvMVlUf\ndB98dVUEGatVOo01uehDP2rtc02ckLx9sOyPHrztbEb+JtSkWdHCiT5xEsbqsRAIonXoAEWFZck6\nXC60jRucDFyAZ943dRJf2wZfhsDb1m6Qz0ZSN1rJIyxpjeTtFcyf4cWfIxh0S4hBvwp/Srm8VMGi\nB7yEigTD7w3Sc7KJbcOyJ9zk7lJIuaSsfFxtie5kk7cbVK9Nu76N6zDmisKphWeDt53jqd4Q8dSH\nVygcWeEMI+lLNXK2K7QfbJH2vcrmN1xEdrA587lgvQf92bfDnrmO459Qm8b03VDYcW2gpBymHR1D\n0VPP4vn6S/RBQ8DjxbNyBQQDGANOrdP5F97rYdfnLtr0cHwvYqso0ylpXFqd+Jo6/PRnN74MhcG3\nBekwTD5oLZUtb7nIWO08otvedzeI+G54xc2hH0tCZ15103Oyn43vwfqX3WALsrco9LzIqFC6L3uL\noPCAQreJZpWm3Imv+dn0ppu2vU1SwpBVqjYMuEFHFHk5tEVnwPXVx8zWh/ZDLdr1MTm6QyVhoFma\nOnPl0x6yNzv24dhT7Do7Qx0jVOYgTDC/XqeqNWnfqWz+r4voTjZnPB1EraLYRLgITZ5CaPKU0p+N\nlF4ouUcJXTy11ucyddg3X8P0C3K2qOz+XGPY3a3bgbGl0OrEd/2/3Gx8taR25QHBtDkyfKil0raX\nheK2sUKC6E4NE9YSlWRzrIKPt50zUVPdTopJ2wRFqZhuMnWOysJ7vQTzBH2v1Tn7hSB6Meg+QeRx\noTjedrXLahVOhIAJf4SsrJqZ9oszBEt+5yFUDCPu1+k0tmaTBW8bmPKpj/SlGl0mOKX9AISr7D6o\nnvpPgMc/Cgv/bOCOtRl+b+Pe0+VPeTi6tWwiMezuxr2+ccaZdX6v6oL4vhYHMxUiO1gkn9Z6Q/Za\nGi1OfG0btn+osSUPUq6nQg5m87jvRX0y+bR29i1Q2TnLRXw/s9nOhPtPN1C9fgr3qQy8tWEGvOH3\nhVC9Nv4cUTqoDrgS9q8NcXS7QspUvYLJ9NAylWCeo8hZG1QOr1JKzOMKg34VYvTvW55JdPXfXaTO\ncbylLBOmflpxkLZMWPuCG18WDLlDJ/YUG8MPC+/zkrdbIXuLUrrHf8ZTQTa+YRPd0cn9XV9SLoC4\n4U0zkT7ewUtxtTxL2qR3/Oz6VKPDCJP4vi2v/a2VFie+m9508eNjHmwD0n7yMvnd8jP7YXeHKEoX\n+LJEg1dEaamYIVjykIeCNJXdLo3YrhYplzTPGXGfy02g4domFBg6o/xzIkT1K9buF5qkzjHxZyt0\nmWCw5wuNgjRnhN73ndbsxdcyHWcwb7xFz8nOvT0+LaMWUbmNev3LLlY+68xE8narTJnlZ+v7LvbN\nc0R723uC4feGcEc7Bc+TRjSuQ53hh5XPubEtGPkbpx0/xzJhx8caUUk2Xc+q2XN1+pNBx+ycXH02\nt+aKK9KZyEqaFy1OfAtSBbbhDA6+IxU327QIOPsfrS9sJZzYVpmFwNYhVIfMQC0V2wJ/jmNirmvI\nSvI4k6sW+gjkOTVsd3+psu1DpyBAu37NcxJzPIsf9LDtfTeK26boD0EG36oz+qEQtgWhAsHwKvZn\n/cflPD+2Bxvfz8QdaxEqUIjqaFfYG29MfnzczZa3nMlB4KjgnBcrjgPH+q5F2Jz+VKBGotRprFlj\nM7xEUlNanPieeqNOxnoVo0BrkNCJk4FjiRJ2feYUuK+uIlFrwtTh80ucIg8dRppc9IEfzVu3c3ni\nwBPnmPBSpphEdfJRkKbQ69Lmfy/z9jiTViskyNnqvFY9cNoT1X+fht4dIi9VIZgnGHKHc2zyaRbn\nvBwgc7VKnyv1Jo3BDeaXTcZDBZVPKI/ucI4x/IKs9So08xXhkdUKPzzkxQzAqN8Gw1IOUtI8aHHi\n2ybFZtrXfhITY8jKat5fnOZMv2sN+l17ct2/jW9opd7Th5ZqHPpJoetZ4XHk6jjCouOIxst1fCKC\nhfDpA1CQ4WXY3SE6ji5rW8qlOgX7BK5I6H15zZ+ByARKt3myNgtW/93NKefqdJ9o0r0ZVJ4adk+Q\nQA5YhmDYPZVbv3pMNsjfq+COsek5tXk//zs+UVn3ooej250ZzZZ3XVJ8WxEtTnwlkrpSeKBsZaS4\n7SrLGbYGVv/NzaZ3AVzohYKJbwQoShckDrYYeKNBv2sMFI06Javw58DcX0ZQuF9l63sa077xE9Wh\n6R15EgbYTJlV/T7z0Bk6/afrqG5qbSK3bUibq6JF2nQ5s2GfnV2fqiy6PwIzWBKsjWh19WxPdhog\n2ZxE0jzpd7VOzCkmqtei37UhIhIqP073Q+Z6BaOWzrWb/qsx/x4PafOaPv/h8WkedR/MmhjBrPMj\nWfBrZ09U89ZNeAEK9ikU7neGjqKDKvl7WpbPgCeu9sILsPxJN3NvimDO9ZFseK2B8miWkLtbLRFe\n8MbbjHk0yJl/k74srQm58m0FmEHI2arQtrdVGmf5c4ozBD/+wYMRcPIqJ/Q/+WbRiYNsrlniw/A5\nMbiVofvgnSlwcHkUHYYbTPmfv0YF2g8sVlj2uBczIEhfqpI8zoerEm/bxmLEgyFUy0PeYR0twmLb\ne47oHllZ84mBZTo5m6M6lE9L2H6IRcqlOodXqiQNt0ga3XotCMeTvUnBNgWmCZnrVKDhPJ8H/SrE\nkZUqxYcF/a7XGRKGcC1J80KKbwvHDMFXV0dw6EeNhEEGUz7xV1osfeWzbnZ/5szWbQMmv1+1eW7P\nVyqpc1y0H2I263CtvFTBvnka3S4wiOtWs8mE5qVaJ6us9QoHlzuvM9ZoZG1U6DTmxOISyFUwS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vQsKpopl94vR7Ndoy01dccM6/fGz+u0rlAYnSnaJbZh/tse05hex3VWQHRA8xqNhjf52rO1nW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\nRU5ErkJggg==\n","text/plain":["<matplotlib.figure.Figure at 0x7fc29a5f5d68>"]},"metadata":{"tags":[]}}]},{"metadata":{"id":"GIcuH3Dik5BY","colab_type":"code","colab":{}},"cell_type":"code","source":["clf_proba = svm.SVC(kernel=\"linear\",C=1.0,probability=True).fit(X,y)"],"execution_count":0,"outputs":[]},{"metadata":{"id":"xHmXTOFpk5Ba","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":34},"outputId":"78b26210-496a-45c3-d068-0b7214ba01a9","executionInfo":{"status":"ok","timestamp":1546737903076,"user_tz":-480,"elapsed":726,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["clf_proba.predict_proba(X).shape #生成的各类标签下的概率"],"execution_count":53,"outputs":[{"output_type":"execute_result","data":{"text/plain":["(550, 2)"]},"metadata":{"tags":[]},"execution_count":53}]},{"metadata":{"id":"ck8dA0lNk5Bd","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":136},"outputId":"8c3f2903-b656-4de2-a360-ac54ff587028","executionInfo":{"status":"ok","timestamp":1546737910364,"user_tz":-480,"elapsed":721,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["clf_proba.predict_proba(X)"],"execution_count":54,"outputs":[{"output_type":"execute_result","data":{"text/plain":["array([[0.69403782, 0.30596218],\n","       [0.27295806, 0.72704194],\n","       [0.96329341, 0.03670659],\n","       ...,\n","       [0.16311967, 0.83688033],\n","       [0.36441388, 0.63558612],\n","       [0.32627979, 0.67372021]])"]},"metadata":{"tags":[]},"execution_count":54}]},{"metadata":{"id":"WGHRtD56k5Bf","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":2363},"outputId":"1d6a6062-0f53-4ec4-d491-8ce40a588881","executionInfo":{"status":"ok","timestamp":1546737915238,"user_tz":-480,"elapsed":705,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["clf_proba.decision_function(X) "],"execution_count":55,"outputs":[{"output_type":"execute_result","data":{"text/plain":["array([ -0.39182241,   0.95617053,  -2.24996184,  -2.63659269,\n","        -3.65243197,  -1.67311996,  -2.56396417,  -2.80650393,\n","        -1.76184723,  -4.7948575 ,  -7.59061196,  -3.66174848,\n","        -2.2508023 ,  -4.27626526,   0.78571364,  -3.24751892,\n","        -8.57016271,  -4.45823747,  -0.14034183,  -5.20657114,\n","        -8.02181046,  -4.18420871,  -5.6222409 ,  -5.12602771,\n","        -7.22592707,  -5.07749638,  -6.72386021,  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1.00003406,   0.03907036,   0.46718521,  -0.3467975 ,\n","         0.32350521,   0.47563771,   1.10055427,  -0.67580418,\n","        -0.46310299,   0.40806733,   1.17438632,  -0.55152081,\n","         0.84476439,  -0.91257798,   0.63165546,  -0.13845693,\n","        -0.22137683,   1.20116183,   1.18915628,  -0.40676459,\n","         1.35964325,   1.14038015,   1.27914468,   0.19329823,\n","        -0.16790648,  -0.62775078,   0.66095617,   2.18236076,\n","         0.07018415,  -0.26762451,  -0.25529448,   0.32084111,\n","         0.48016592,   0.28189794,   0.60568093,  -1.07472716,\n","        -0.5088941 ,   0.74892526,   0.07203056,  -0.10668727,\n","        -0.15662946,   0.09611498,  -0.39521586,  -0.79874442,\n","         0.65613691,  -0.39386485,  -1.08601917,   1.44693858,\n","         0.62992794,   0.76536897])"]},"metadata":{"tags":[]},"execution_count":55}]},{"metadata":{"id":"5OYgzLZak5Bi","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":34},"outputId":"1594fb56-2a16-423f-f1f0-69840c4d0bbc","executionInfo":{"status":"ok","timestamp":1546737918628,"user_tz":-480,"elapsed":799,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["clf_proba.decision_function(X).shape"],"execution_count":56,"outputs":[{"output_type":"execute_result","data":{"text/plain":["(550,)"]},"metadata":{"tags":[]},"execution_count":56}]},{"metadata":{"id":"6X3T5VP60QH5","colab_type":"text"},"cell_type":"markdown","source":["## 3绘制SVM的ROC曲线"]},{"metadata":{"id":"RpWPuSkkk5Bj","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":390},"outputId":"45f0b310-9525-41d8-905e-002730b49368","executionInfo":{"status":"ok","timestamp":1546738815559,"user_tz":-480,"elapsed":762,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["prob"],"execution_count":57,"outputs":[{"output_type":"execute_result","data":{"text/html":["<div>\n","<style scoped>\n","    .dataframe tbody tr th:only-of-type {\n","        vertical-align: middle;\n","    }\n","\n","    .dataframe tbody tr th {\n","        vertical-align: top;\n","    }\n","\n","    .dataframe thead th {\n","        text-align: right;\n","    }\n","</style>\n","<table border=\"1\" class=\"dataframe\">\n","  <thead>\n","    <tr style=\"text-align: right;\">\n","      <th></th>\n","      <th>zero</th>\n","      <th>one</th>\n","      <th>pred</th>\n","      <th>y_true</th>\n","    </tr>\n","  </thead>\n","  <tbody>\n","    <tr>\n","      <th>7</th>\n","      <td>0.355167</td>\n","      <td>0.644833</td>\n","      <td>1.0</td>\n","      <td>1</td>\n","    </tr>\n","    <tr>\n","      <th>8</th>\n","      <td>0.381606</td>\n","      <td>0.618394</td>\n","      <td>1.0</td>\n","      <td>1</td>\n","    </tr>\n","    <tr>\n","      <th>1</th>\n","      <td>0.458916</td>\n","      <td>0.541084</td>\n","      <td>1.0</td>\n","      <td>0</td>\n","    </tr>\n","    <tr>\n","      <th>10</th>\n","      <td>0.501493</td>\n","      <td>0.498507</td>\n","      <td>1.0</td>\n","      <td>1</td>\n","    </tr>\n","    <tr>\n","      <th>5</th>\n","      <td>0.562775</td>\n","      <td>0.437225</td>\n","      <td>1.0</td>\n","      <td>0</td>\n","    </tr>\n","    <tr>\n","      <th>9</th>\n","      <td>0.585284</td>\n","      <td>0.414716</td>\n","      <td>1.0</td>\n","      <td>1</td>\n","    </tr>\n","    <tr>\n","      <th>0</th>\n","      <td>0.604664</td>\n","      <td>0.395336</td>\n","      <td>0.0</td>\n","      <td>0</td>\n","    </tr>\n","    <tr>\n","      <th>6</th>\n","      <td>0.662054</td>\n","      <td>0.337946</td>\n","      <td>0.0</td>\n","      <td>0</td>\n","    </tr>\n","    <tr>\n","      <th>4</th>\n","      <td>0.664739</td>\n","      <td>0.335261</td>\n","      <td>0.0</td>\n","      <td>0</td>\n","    </tr>\n","    <tr>\n","      <th>3</th>\n","      <td>0.679109</td>\n","      <td>0.320891</td>\n","      <td>0.0</td>\n","      <td>0</td>\n","    </tr>\n","    <tr>\n","      <th>2</th>\n","      <td>0.717986</td>\n","      <td>0.282014</td>\n","      <td>0.0</td>\n","      <td>0</td>\n","    </tr>\n","  </tbody>\n","</table>\n","</div>"],"text/plain":["        zero       one  pred  y_true\n","7   0.355167  0.644833   1.0       1\n","8   0.381606  0.618394   1.0       1\n","1   0.458916  0.541084   1.0       0\n","10  0.501493  0.498507   1.0       1\n","5   0.562775  0.437225   1.0       0\n","9   0.585284  0.414716   1.0       1\n","0   0.604664  0.395336   0.0       0\n","6   0.662054  0.337946   0.0       0\n","4   0.664739  0.335261   0.0       0\n","3   0.679109  0.320891   0.0       0\n","2   0.717986  0.282014   0.0       0"]},"metadata":{"tags":[]},"execution_count":57}]},{"metadata":{"id":"O5LdhK0Bk5Bm","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":51},"outputId":"12a43523-05bc-40e3-cf27-1311b7ae18fd","executionInfo":{"status":"ok","timestamp":1546738820702,"user_tz":-480,"elapsed":732,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["#首先来看看如何从混淆矩阵中获取FPR和Recall\n","cm = CM(prob.loc[:,\"y_true\"],prob.loc[:,\"pred\"],labels=[1,0])\n","cm"],"execution_count":58,"outputs":[{"output_type":"execute_result","data":{"text/plain":["array([[4, 0],\n","       [2, 5]])"]},"metadata":{"tags":[]},"execution_count":58}]},{"metadata":{"id":"lmAv49ibk5Bo","colab_type":"code","colab":{}},"cell_type":"code","source":["#特异度：00/all true 0 \n","# 1-特异度"],"execution_count":0,"outputs":[]},{"metadata":{"id":"sXkrOwD1k5Br","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":34},"outputId":"e262e30c-ed62-4918-daa1-36740e330cb2","executionInfo":{"status":"ok","timestamp":1546739087182,"user_tz":-480,"elapsed":814,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["#FPR #被我们预测错误的0占所有真正为0的样本的比例\n","cm[1,0]/cm[1,:].sum()"],"execution_count":59,"outputs":[{"output_type":"execute_result","data":{"text/plain":["0.2857142857142857"]},"metadata":{"tags":[]},"execution_count":59}]},{"metadata":{"id":"9zvOBgn9k5Bu","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":34},"outputId":"512013a7-d6aa-45ec-c267-3a367573b353","executionInfo":{"status":"ok","timestamp":1546739089628,"user_tz":-480,"elapsed":759,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["#Recall\n","cm[0,0]/cm[0,:].sum()"],"execution_count":60,"outputs":[{"output_type":"execute_result","data":{"text/plain":["1.0"]},"metadata":{"tags":[]},"execution_count":60}]},{"metadata":{"id":"7k3IKsYEk5Bv","colab_type":"code","colab":{}},"cell_type":"code","source":["#概率 clf_proba.predict_proba(X)[:,1] #我的类别1下面的概率"],"execution_count":0,"outputs":[]},{"metadata":{"id":"3bJEVgLAk5By","colab_type":"code","colab":{}},"cell_type":"code","source":["#阈值，每一个阈值都对应着一次循环，每一次循环，都要有一个混淆矩阵，要有一组假正率vsRecall"],"execution_count":0,"outputs":[]},{"metadata":{"id":"wgNZjaUjk5B0","colab_type":"code","colab":{}},"cell_type":"code","source":["#np.lispance(概率最小值，概率最大值，55，endpoint=False) #endpoint=False不要取到最大值\n","#if i > 概率最大值, 返回1"],"execution_count":0,"outputs":[]},{"metadata":{"id":"jP_duA1b4bWf","colab_type":"code","colab":{}},"cell_type":"code","source":["probrange2 = np.linspace(clf_proba.predict_proba(X)[:,1].min(),clf_proba.predict_proba(X)[:,1].max(),num=50,endpoint=True)\n","# min-max中取48个数"],"execution_count":0,"outputs":[]},{"metadata":{"id":"RfsdyV2tk5B9","colab_type":"code","colab":{}},"cell_type":"code","source":["#开始绘图\n","probrange = np.linspace(clf_proba.predict_proba(X)[:,1].min(),clf_proba.predict_proba(X)[:,1].max(),num=50,endpoint=False)\n","# min-max中取49个数"],"execution_count":0,"outputs":[]},{"metadata":{"id":"LLoBQOnP3sUG","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":34},"outputId":"1199540e-568c-43c8-f189-c327413f7d5e","executionInfo":{"status":"ok","timestamp":1546739772083,"user_tz":-480,"elapsed":795,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["clf_proba.predict_proba(X)[:,1].max()"],"execution_count":67,"outputs":[{"output_type":"execute_result","data":{"text/plain":["0.9319774839426442"]},"metadata":{"tags":[]},"execution_count":67}]},{"metadata":{"id":"t-2jxB9u4hWY","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":238},"outputId":"debef0ec-575b-4e79-a7a2-a8c5a2dde068","executionInfo":{"status":"ok","timestamp":1546739921501,"user_tz":-480,"elapsed":800,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["probrange2"],"execution_count":74,"outputs":[{"output_type":"execute_result","data":{"text/plain":["array([7.78097201e-07, 1.90207109e-02, 3.80406436e-02, 5.70605764e-02,\n","       7.60805092e-02, 9.51004420e-02, 1.14120375e-01, 1.33140308e-01,\n","       1.52160240e-01, 1.71180173e-01, 1.90200106e-01, 2.09220039e-01,\n","       2.28239971e-01, 2.47259904e-01, 2.66279837e-01, 2.85299770e-01,\n","       3.04319702e-01, 3.23339635e-01, 3.42359568e-01, 3.61379501e-01,\n","       3.80399434e-01, 3.99419366e-01, 4.18439299e-01, 4.37459232e-01,\n","       4.56479165e-01, 4.75499097e-01, 4.94519030e-01, 5.13538963e-01,\n","       5.32558896e-01, 5.51578828e-01, 5.70598761e-01, 5.89618694e-01,\n","       6.08638627e-01, 6.27658560e-01, 6.46678492e-01, 6.65698425e-01,\n","       6.84718358e-01, 7.03738291e-01, 7.22758223e-01, 7.41778156e-01,\n","       7.60798089e-01, 7.79818022e-01, 7.98837955e-01, 8.17857887e-01,\n","       8.36877820e-01, 8.55897753e-01, 8.74917686e-01, 8.93937618e-01,\n","       9.12957551e-01, 9.31977484e-01])"]},"metadata":{"tags":[]},"execution_count":74}]},{"metadata":{"id":"aiBwUeOY4mxa","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":187},"outputId":"37bc6904-3dbe-4565-8712-fce74745c016","executionInfo":{"status":"ok","timestamp":1546739959136,"user_tz":-480,"elapsed":718,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["probrange2-probrange"],"execution_count":75,"outputs":[{"output_type":"execute_result","data":{"text/plain":["array([0.        , 0.0003804 , 0.0007608 , 0.0011412 , 0.00152159,\n","       0.00190199, 0.00228239, 0.00266279, 0.00304319, 0.00342359,\n","       0.00380399, 0.00418439, 0.00456478, 0.00494518, 0.00532558,\n","       0.00570598, 0.00608638, 0.00646678, 0.00684718, 0.00722757,\n","       0.00760797, 0.00798837, 0.00836877, 0.00874917, 0.00912957,\n","       0.00950997, 0.00989037, 0.01027076, 0.01065116, 0.01103156,\n","       0.01141196, 0.01179236, 0.01217276, 0.01255316, 0.01293355,\n","       0.01331395, 0.01369435, 0.01407475, 0.01445515, 0.01483555,\n","       0.01521595, 0.01559634, 0.01597674, 0.01635714, 0.01673754,\n","       0.01711794, 0.01749834, 0.01787874, 0.01825914, 0.01863953])"]},"metadata":{"tags":[]},"execution_count":75}]},{"metadata":{"id":"5uluhH8N3mMs","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":238},"outputId":"778cba59-86c2-401c-c364-2b10ce706fa7","executionInfo":{"status":"ok","timestamp":1546739789962,"user_tz":-480,"elapsed":771,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["probrange"],"execution_count":71,"outputs":[{"output_type":"execute_result","data":{"text/plain":["array([7.78097201e-07, 1.86403122e-02, 3.72798463e-02, 5.59193804e-02,\n","       7.45589146e-02, 9.31984487e-02, 1.11837983e-01, 1.30477517e-01,\n","       1.49117051e-01, 1.67756585e-01, 1.86396119e-01, 2.05035653e-01,\n","       2.23675188e-01, 2.42314722e-01, 2.60954256e-01, 2.79593790e-01,\n","       2.98233324e-01, 3.16872858e-01, 3.35512392e-01, 3.54151926e-01,\n","       3.72791460e-01, 3.91430995e-01, 4.10070529e-01, 4.28710063e-01,\n","       4.47349597e-01, 4.65989131e-01, 4.84628665e-01, 5.03268199e-01,\n","       5.21907733e-01, 5.40547267e-01, 5.59186802e-01, 5.77826336e-01,\n","       5.96465870e-01, 6.15105404e-01, 6.33744938e-01, 6.52384472e-01,\n","       6.71024006e-01, 6.89663540e-01, 7.08303075e-01, 7.26942609e-01,\n","       7.45582143e-01, 7.64221677e-01, 7.82861211e-01, 8.01500745e-01,\n","       8.20140279e-01, 8.38779813e-01, 8.57419347e-01, 8.76058882e-01,\n","       8.94698416e-01, 9.13337950e-01])"]},"metadata":{"tags":[]},"execution_count":71}]},{"metadata":{"id":"Mf3nE9Rf3zlv","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":34},"outputId":"064498db-1043-4d60-9dfa-418c81b788f7","executionInfo":{"status":"ok","timestamp":1546739792311,"user_tz":-480,"elapsed":731,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["probrange.shape"],"execution_count":72,"outputs":[{"output_type":"execute_result","data":{"text/plain":["(50,)"]},"metadata":{"tags":[]},"execution_count":72}]},{"metadata":{"id":"MiUBynJk2IrA","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":347},"outputId":"71c4b7f4-ea1d-4cc8-b00f-c9a4d6b40e12","executionInfo":{"status":"ok","timestamp":1546740217598,"user_tz":-480,"elapsed":38240,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["from sklearn.metrics import confusion_matrix as CM, recall_score as R\n","import matplotlib.pyplot as plot\n","\n","recall = []\n","FPR = []\n","\n","for i in probrange:\n","    y_predict = []\n","    for j in range(X.shape[0]):\n","        if clf_proba.predict_proba(X)[j,1] > i:\n","            y_predict.append(1)\n","        else:\n","            y_predict.append(0)\n","    cm = CM(y,y_predict,labels=[1,0])\n","    recall.append(cm[0,0]/cm[0,:].sum())\n","    FPR.append(cm[1,0]/cm[1,:].sum())\n","\n","recall.sort()\n","FPR.sort()\n","\n","plt.plot(FPR,recall,c=\"red\")\n","plt.plot(probrange+0.05,probrange+0.05,c=\"black\",linestyle=\"--\")\n","plt.show()"],"execution_count":76,"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAeEAAAFKCAYAAAAqkecjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRERMohIWERExiUpYRETEJP8P7QecNA5Lui4AAAAASUVORK5CYII=\n","text/plain":["<matplotlib.figure.Figure at 0x7fc29a5b26d8>"]},"metadata":{"tags":[]}}]},{"metadata":{"id":"tS96f6X96sw4","colab_type":"text"},"cell_type":"markdown","source":["## 4sklearn中的ROC曲线和AUC面积"]},{"metadata":{"id":"IpvkqSMLk5CB","colab_type":"code","colab":{}},"cell_type":"code","source":["from sklearn.metrics import roc_curve"],"execution_count":0,"outputs":[]},{"metadata":{"id":"WM0dtVFSk5CI","colab_type":"code","colab":{}},"cell_type":"code","source":["FPR, recall, thresholds = roc_curve(y,clf_proba.decision_function(X), pos_label=1)"],"execution_count":0,"outputs":[]},{"metadata":{"id":"Ndw0D2rbk5CP","colab_type":"code","colab":{},"outputId":"2b5982e7-781a-45f4-a73f-1e5bd94fd841"},"cell_type":"code","source":["FPR.shape"],"execution_count":0,"outputs":[{"output_type":"execute_result","data":{"text/plain":["(45,)"]},"metadata":{"tags":[]},"execution_count":66}]},{"metadata":{"id":"Bh1iyNs1k5CT","colab_type":"code","colab":{},"outputId":"de5cb051-1a59-4b14-d4b5-9ee8d73841aa"},"cell_type":"code","source":["recall.shape"],"execution_count":0,"outputs":[{"output_type":"execute_result","data":{"text/plain":["(45,)"]},"metadata":{"tags":[]},"execution_count":67}]},{"metadata":{"id":"eB0akpAIk5Ca","colab_type":"code","colab":{},"outputId":"d09f6a9a-9772-41eb-e002-bd93b67fb459"},"cell_type":"code","source":["thresholds.shape #此时的threshold就不是一个概率值，而是距离值中的阈值了，所以它可以大于1，也可以为负"],"execution_count":0,"outputs":[{"output_type":"execute_result","data":{"text/plain":["(45,)"]},"metadata":{"tags":[]},"execution_count":68}]},{"metadata":{"id":"EpmBnJsYk5Co","colab_type":"code","colab":{},"outputId":"db1afd1a-54c9-466d-d506-e0ffe1418c7e"},"cell_type":"code","source":["thresholds #decision_function"],"execution_count":0,"outputs":[{"output_type":"execute_result","data":{"text/plain":["array([  3.18236076,   2.18236076,   1.48676267,   1.35964325,\n","         1.33920817,   1.14038015,   1.13383091,   1.00003406,\n","         0.85085628,   0.84476439,   0.78571364,   0.60568093,\n","         0.5389064 ,   0.46718521,   0.44396046,   0.03907036,\n","        -0.07011269,  -0.10668727,  -0.1258212 ,  -0.13845693,\n","        -0.14034183,  -0.16790648,  -0.2040958 ,  -0.22137683,\n","        -0.24381463,  -0.26762451,  -0.34446784,  -0.3467975 ,\n","        -0.39182241,  -0.40676459,  -0.4589064 ,  -0.46310299,\n","        -0.49195707,  -0.5088941 ,  -0.53560561,  -0.55152081,\n","        -0.62628865,  -0.67580418,  -0.78127198,  -0.79874442,\n","        -0.88438995,  -0.91257798,  -1.01417607,  -1.08601917,\n","       -10.31959605])"]},"metadata":{"tags":[]},"execution_count":69}]},{"metadata":{"id":"UwYK-ltCk5Cx","colab_type":"code","colab":{}},"cell_type":"code","source":["from sklearn.metrics import roc_auc_score as AUC"],"execution_count":0,"outputs":[]},{"metadata":{"id":"jnZBFyNRk5C1","colab_type":"code","colab":{}},"cell_type":"code","source":["area = AUC(y,clf_proba.decision_function(X))"],"execution_count":0,"outputs":[]},{"metadata":{"id":"PJCD47JYk5C4","colab_type":"code","colab":{}},"cell_type":"code","source":["#min = 0\n","#max = 1"],"execution_count":0,"outputs":[]},{"metadata":{"id":"Q9yy3bCjk5DC","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":376},"outputId":"40d08609-76ca-44a4-ebba-0bcbc3bbca7b","executionInfo":{"status":"ok","timestamp":1546740819459,"user_tz":-480,"elapsed":899,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["plt.figure()\n","plt.plot(FPR, recall, color='red',\n","         label='ROC curve (area = %0.2f)' % area)\n","plt.plot([0, 1], [0, 1], color='black',linestyle='--')\n","plt.xlim([-0.05, 1.05])\n","plt.ylim([-0.05, 1.05])\n","plt.xlabel('False Positive Rate')\n","plt.ylabel('Recall')\n","plt.title('Receiver operating characteristic example')\n","plt.legend(loc=\"lower right\")\n","plt.show()"],"execution_count":81,"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAe8AAAFnCAYAAACPasF4AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nmICAAGtR3i5//vyEhYUxfPhwAEqVKmV9lffdBAQEEBgYiJ+fHxUrVmT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t6d37ZQzDACAg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0ezY4mISDal8jbRhQvxhISMYMmSRRQqVAg/v1a4uLiouEVE5J70VjGT/PDDWnx967JkySKqV69B\nePgqXFxczI4lIiI5gGbeWezatWsEBQ1h0aLPcXR0ZMSIEAYOHKzZtoiIpJvKO4s5OzsTFXWaqlWr\nERY2jypVqpodSUREchiVdxZISLjEDz+s47nnOmCxWJg//2Pc3Qtoti0iIg9Ex7xtbOPGDfj61qVP\nn57s2rUTAC+vQipuERF5YCpvG0lMTGDo0Nd58cV2nDt3lqFDg3j88RpmxxIRkVwgzy+bu44JwT7y\nJCkPl8y0fW7evJHBgwcQGXmSSpWqEBY2l2rVHs+0/YuISN6W52feziuWAZDUpl2m7XPDhh+IijrN\nkCHDWb9+k4pbREQyVZ6feQOkPFySy2PGZWgfe/fuoXr1GtjZ2REU9CbPP/8Cjz1WPZMSioiI/L88\nP/POqMTEREaMGIqfXxM+/vh9APLnz6/iFhERm9HMOwO2bfuZwMD+nDx5gooVH9XnbYuISJbQzPsB\nXL58mTfffIN27Vpx6tRJBg4czPr1m6lRo6bZ0UREJA/QzPsB/PjjOj74YB7ly1cgNHSuZtwiIpKl\nVN7pdOXKFVJTU3Bzc6dNm3aEhs6lXbvnyZcvn9nRREQkj9GyeTrs3LmDpk3rExIyAgCLxUJAQGcV\nt4iImELlfQ9Xr15l1Khgnn3Wj7//Pk7Bgp6kpqaaHUtERPI4LZvfxe7dOwkM7MexY39Rtmw5Zs6c\nS506dc2OJSIikjdn3q5jQqB0abxqVsUu6vS/rj937hzt2z/D8ePH6NPnNTZs2KriFhGRbCNPzryd\nVyyDqNNQrDipxYpbT41648YNHB0dKVKkCGPHTqBy5SrUrfuUyWlFRO7tzJkounULoGLFR4Gbf8vK\nln2EYcNGYG9vz7Vr1wgLm8bvvx/EwcEBT89CDB0aRJEiRQGIjDzJm2/O5Pz5aFJSUnnssWq89tog\nnJycTLtPKSkpBAUNZvDgNyhevIRpORITExk79k0SExPJn9+FMWPGUaCAR5ptPvpoPjt2bCNfPide\neeU1qld/nOnTJ3Ps2F8AJCVdw83NnQ4dAvjll128/vrQDOfKk+UNQIkSxO3+DYBr164x+e1R7Nix\nje++W4ODgwM9e/Y2OaCISPqVLFmKWbPet14eP34M69evwd+/NWFh0yhc2JsFC74E4MCBfQwdGsjC\nhV9isVgICXmDMWNGU6ZMJQzDYMaMKSxY8AF9+rxm1t1h2bKlVK9ew9TiBliy5Etq1KjJSy91Y/ny\ncD7//BP69w+0Xn/06B/s3r2T+fMXkC8f9Or1CnPnfszgwW9Yt/n44/cpXbos9es3ZOXKZRw+fIhK\nlapkKJdNy3vChAns378fi8VCcHAw1apVs163bds2pk2bhr29Pb6+vrz2mjkPkr179zBwYF+OHj1C\nqVKliYo6TcmSpUzJIiKSWSpXrsqpU5FcuXKZHTu2sXjxMut11ao9TuXKVdiyZSP587tQsmRpateu\nTXR0AhaLhf79A7FY0h5VTU5OZty40Zw7dwYnJ2dCQsaye/dOjh8/xoABg7hy5QrdunVk6dIVBAQ8\nR9269fH09OT771fx1VfhAHz//Ur++usonTp1ZeLEd0hOvvG/z4N4i6JFi6a5vaVLFzN//gIA1q37\nnqVLF2Nvb0fp0uUICnqT1atXsGPHNmJiohk7dgKbN2/khx/WYLHY0bBhYzp16sL58+d4551R1vwh\nIWPTPBnYtu1nvvzy0zS3++yz7Xn6aX/r5T17djNy5M191K/vyxtvDEqzfWRkJBUrPoqdnR0eHu64\nurpx5kwUDz1UDIBLly6xZ89uevS4OSFs3/5Fvv76K0aNeuc+/0fTsll579q1i4iICBYvXsyxY8cI\nDg5m8eLF1uvHjRvHRx99RJEiRejSpQt+fn488sgjtorzL0mGwfjxYwkLm05qaiq9er1KSMhYXF1d\nsyyDiOQ+rmNCrJ9WmFmS2rS7rw9PSk5OZsuWTbRr9zynT5+iVKnSODik/XNfvnxFTp6MIH/+/JQv\nXyHNdc7O/34b7Pffr6RQoUKMGTOeH35Yy88/b8bZ2fmut1+37lPUrfsUv/76C8ePH6Ns2XJs2bKJ\nTp268MEHcwkI6MyTT9Zh+/af+eSTDwkKCrH+/NmzZ3FycrIuT1+9epWpU8Nwd3fntdd6W5ejz507\ny7x5H3PmTBQbN/7InDkfAdCvXy+aNGlOfHwsPXr05oknarFy5XLCw79m4MDB1tt56qkGPPVUg3uO\nZWxsLAULegLg6elJbGxMmuvLli3Hp59+xLVr14iJSeLPP48SFxdnLe8VK76lVas2WCwWAKpVq87E\niW/f8zbTw2blvX37dpo3bw5AuXLluHjxIomJibi5uREZGYmHhwcPPfQQAI0aNWL79u1ZWt6tz5/n\nx5lTKVmyFDNmzKZBA98su20Rkcx28mQEAwa8CsCxY3/RuXM3fH0b8+efR0lJ+fdbXA3DwM7OHrCk\n6y2wR478Qa1aN88m2by5HwCrV6+46/aVK99cFvb1bcLWrVsoXrwEf/99jKpVqzFp0jucPBnBJ598\nRGpqqrUcb4mJicbb28d6uUCBAowcefM4cUTE31y8eAGASpUqY7FYOHz4EKdORTJwYB8Arly5zNmz\nN2e/M2a8x0cfzSch4fbcJ+IAABBwSURBVBIVK1b6z/t5L4Zh/Ot7ZcqU5dlnn2PQoP6UKVOKRx6p\nkGa79evXMn/+x9bLzs75SE5OJiUlBXt7+wfOYrPyjomJoUqV/1/T9/LyIjo6Gjc3N6Kjo/Hy8kpz\nXWRk5D335+npgoPDg9/RNDq+SP+jR6lQvDiTJ0/Gzc0tc/abR3l7u5sdIcfTGGZcthnD2TNv/stE\nLv/7dzdJSa6ULVuGxYsXARAYGEjVqo/i7e1O/vwVOX36/9q79+iY7r2P4+/JkKSISHSSuER5PDyI\nHnfHJWg00UiopSsrk5CLiKQJWlGrHhGno4hrUpeUVasXTlHk6PTmIay20otLDqJCtIdGgwSRC5oQ\niUn284fTqTmJQaOZGb6v/2Z++/LNZyX57t/ee2afx9nZweQGtIKCX/D19cXe3p4tW7YAv2dYXV1N\nfn4+Xbv+PiNv0cKRFi0cTHJu2fIpmjWzR6Nx4vr1WtRqOzQaJ9RqOzw8XGjevDnjx48hISGBPn16\n8txzI3Bza4mjowPr1r2Nm9vvDfpuLi7NcHBoikbjRHV1NatWreCzzz5Do9Hw8ssv06pVM27ccKRl\ny+ZoNE60bt2SkSN9WLDAdEabmJjI888/R2hoKBkZGWRmZprUn5mZyfvvv2+yTnBwMGPHjjW+btvW\nA0WpRKNpQ2FhIR4e7nV+1+LiphAXNwUArVZLz55d0GicyM/PR6NpTfv2GpPl7exU/87JCpv3f6rv\niOVhXL168xFVAsx+g5c0TgwrLqeyUqGysvzRbfsJo9E4UVws+TWEZNhwT3qGZWU3MBhqjRlER09l\n1qxX6NatN46Ojgwa5M3y5W8Zb0A7ceI4OTknmTHjf1GpVJw/v5Svv/6aZ58dQG1tLWlpK2nWrBkx\nMfHGfTzzzH+Tmfkd/ft7s3//d+TlneGZZzpx4cJFiovL+f7776mpuVNDTU0tJSUV3LxZi51dMwyG\nWj7++FPGjXuJ4uJyunbtwaef/h/jxwdx9OhhSktLTa4zq9XNKSi4s93r16/9+/q7IydPniEn5wQl\nJb9SXn6LmzerKS4ux8OjI/v3L+fChWIcHBxYvTqV+PjpXL5czLBhT3Plyq/s2pVhrO83Xl79eOut\nug+UunuZ3r378/HHnzFp0hT0+s/p1++vJuNXr14lOVnHihWruX69iKqq24AjxcXl7N9/mA4d/stk\n+aqqW9jZqSkre7Cedq+D0j/tc95ubm6UlPx+beDKlStoNJp6x4qKiu55BCaEEOLhtG3bjueee56/\n//3OrHLGjFlUV1cRGRlKTEwEH374AQsXLkWtVmNnZ0dq6tukp6cTHR3O1KlTaNGiBdHRL5ts09f3\nBSorK5k+PZb09K2MHj2G/v0HGE/Xnz+fX+cmt994ew/nhx+y+ctfegMQHR3Ld99lMm1aDBs2vEvP\nns+aLO/h4UFVVRW//vorzs6tGDDgr0yZEsGGDe8yYUI4a9a8hcFgMFk+ODiUadNiiI2dROvWrXFw\ncGTcuJdYuXIFs2a9yvPPv8APP2Tzz38eeqgsg4JC+Ne/fmTq1ClkZx9lwoQIAFavTuXixUJcXFzo\n0uV/iI4OJzExkdmzk4zrlpaW4OJiekngxIkcevXq81A11EelNHRKfA/Z2dmkpaWxYcMGcnNzWbRo\nEVu3bjWOBwYGsn79ejw8PNBqtaSkpNCpU6d7bu9RH1U/6Ufqj4rk2HCSYcNJhg1nbRn+4x/bqKq6\nRVjYJEuX8sAeJMO5c18nLCySHj16PvA26/OnnTbv27cvXl5ehISEoFKp0Ol06PV6nJyc8PPzY/78\n+cyadecGhICAALONWwghxJNl/Pgg5sx5DR8fX4t/1vtROXDge9zc3B+4cZvzp828HzWZeVsnybHh\nJMOGkwwbTjJsuD8jw0a/5i2EEEKIP4c0byGEEMLGSPMWQgghbIw0byGEEMLGSPMWQgghbIw0byGE\nEMLGSPMWQgghbIw0byGEEMLG2MyXtAghhBDiDpl5CyGEEDZGmrcQQghhY6R5CyGEEDZGmrcQQghh\nY6R5CyGEEDZGmrcQQghhY56I5r148WK0Wi0hISHk5OSYjB04cICgoCC0Wi1r1661UIXWz1yGhw4d\nIjg4mJCQEBITE6mtrbVQldbNXIa/SU1NJTw8vJErsx3mMrx06RKhoaEEBQXxxhtvWKhC22Auxy1b\ntqDVagkNDSU5OdlCFVq/06dP4+vry+bNm+uMNUpfUR5zWVlZSmxsrKIoivLzzz8rwcHBJuOjR49W\nLl68qNTU1CihoaHKmTNnLFGmVbtfhn5+fsqlS5cURVGUV155RcnMzGz0Gq3d/TJUFEU5c+aMotVq\nlbCwsMYuzybcL8NXX31V2bt3r6IoijJ//nylsLCw0Wu0BeZyLC8vV3x8fJTbt28riqIoUVFRyrFj\nxyxSpzW7ceOGEhYWpsybN0/ZtGlTnfHG6CuP/cz74MGD+Pr6AtC5c2euX79ORUUFABcuXMDZ2Zk2\nbdpgZ2fHiBEjOHjwoCXLtUrmMgTQ6/V4eHgA4OrqytWrVy1SpzW7X4YAS5cuZebMmZYozyaYy7C2\ntpajR48ycuRIAHQ6HW3btrVYrdbMXI5NmzaladOm3Lx5E4PBQGVlJc7OzpYs1yrZ29vz7rvv4ubm\nVmessfrKY9+8S0pKcHFxMb52dXWluLgYgOLiYlxdXesdE78zlyFAixYtALhy5Qr79+9nxIgRjV6j\ntbtfhnq9noEDB9KuXTtLlGcTzGVYVlZG8+bNWbJkCaGhoaSmplqqTKtnLkcHBwemTZuGr68vPj4+\n9OrVi06dOlmqVKvVpEkTHB0d6x1rrL7y2Dfv/6TIt8E2WH0ZlpaWEhcXh06nM/nHIOp3d4bXrl1D\nr9cTFRVlwYpsz90ZKopCUVERERERbN68mVOnTpGZmWm54mzI3TlWVFSwfv16MjIy+Oqrrzh+/Dg/\n/fSTBasT9/LYN283NzdKSkqMr69cuYJGo6l3rKioqN7TIE86cxnCnT/4mJgYEhIS8Pb2tkSJVs9c\nhocOHaKsrIyJEycyffp0cnNzWbx4saVKtVrmMnRxcaFt27Z06NABtVrN4MGDOXPmjKVKtWrmcszL\ny8PT0xNXV1fs7e3p378/J0+etFSpNqmx+spj37yHDh3Knj17AMjNzcXNzc14mrd9+/ZUVFRQUFCA\nwWBg3759DB061JLlWiVzGcKda7WRkZEMHz7cUiVaPXMZ+vv7s2vXLtLT03n77bfx8vJi7ty5lizX\nKpnLsEmTJnh6epKfn28cl9O99TOXY7t27cjLy+PWrVsAnDx5ko4dO1qqVJvUWH3liXiqWEpKCkeO\nHEGlUqHT6Th16hROTk74+flx+PBhUlJSABg1ahTR0dEWrtY63StDb29vBgwYQJ8+fYzLjhkzBq1W\na8FqrZO538PfFBQUkJiYyKZNmyxYqfUyl+G5c+eYM2cOiqLQtWtX5s+fj53dYz8/+UPM5bht2zb0\nej1qtZo+ffowe/ZsS5drdU6ePMmyZcsoLCykSZMmuLu7M3LkSNq3b99ofeWJaN5CCCHE40QOS4UQ\nQggbI81bCCGEsDHSvIUQQggbI81bCCGEsDHSvIUQQggb08TSBQjxJCgoKMDf39/kI3UAc+fOpXv3\n7vWuk5aWhsFgaND3nWdlZTF16lR69OgBQFVVFT169CApKYmmTZs+1La+/fZbcnNziY+PJzs7G41G\ng6enJ8nJyYwbN46ePXv+4TrT0tLQ6/W0b98eAIPBgIeHBwsWLMDJyeme6xUVFXH27FkGDx78h/ct\nhC2S5i1EI3F1dbXI57e7du1q3K+iKMycOZPt27cTFhb2UNsZPny48Yt49Ho9AQEBeHp6kpSU9Ejq\nfPHFF00OVFasWME777zD66+/fs91srKyyMvLk+YtnjjSvIWwsLy8PHQ6HWq1moqKChISEhg2bJhx\n3GAwMG/ePH755RdUKhXdu3dHp9NRXV3NggULOHfuHDdu3GDMmDFMnjzZ7L5UKhX9+vXj7NmzAGRm\nZrJ27VocHR156qmnWLhwIe7u7qSkpHDo0CHs7e1xd3dn2bJl7Ny5kwMHDvDCCy+QkZFBTk4OiYmJ\nrFu3jvj4eFJTU0lKSqJv374ATJo0iaioKLp06cKbb75JZWUlN2/e5LXXXmPIkCH3zaVPnz6kp6cD\ncOTIEVJSUrC3t+fWrVvodDpatmzJqlWrUBSFVq1aMXHixIfOQwhbJc1bCAsrKSlhxowZDBgwgGPH\njrFw4UKT5n369GmOHz/O7t27AUhPT6e8vJzt27fj5ubGokWLqKmpITg4mCFDhtCtW7d77quqqop9\n+/YRFBREZWUl8+bNY8eOHXh4eLB582ZWrVrFnDlz2LJlC0eOHEGtVrNr1y6T72r28/Pjww8/JD4+\nnsGDB7Nu3ToAxo4dy549e+jbty+lpaXk5eXh7e1NfHw8kydPZtCgQRQXF6PVatm7dy9Nmtz734/B\nYGDnzp307t0buPPwlvnz59OtWzd27tzJ+vXrWbNmDePHj8dgMBAVFcV777330HkIYaukeQvRSMrK\nyggPDzd5b/Xq1Wg0GpYvX87KlSu5ffs2165dM1mmc+fOuLi4EBMTg4+PD6NHj8bJyYmsrCwuX77M\n4cOHAaiurub8+fN1mtXp06dN9uvj40NAQAA//vgjrVu3Nj6LfeDAgWzbtg1nZ2eGDRtGWFgYfn5+\nBAQEGJcxJzAwkNDQUBITE8nIyMDf3x+1Wk1WVhY3btxg7dq1wJ3vIS8tLcXd3d1k/c8//5zs7GwU\nReHUqVNEREQQGxsLwNNPP83y5cupqqqivLy83mdMP2geQjwOpHkL0Ujudc171qxZBAYGEhQUxOnT\np4mLizMZd3Bw4KOPPiI3N9c4a966dSv29vZMmzYNf39/s/u9+5r33VQqlclrRVGM761Zs4a8vDy+\n+eYbwsLCSEtLu+/P99sNbDk5OezevZs5c+YAYG9vT1pamskzjutz9zXvuLg42rVrZ5ydz549mzff\nfJPBgwezb98+PvjggzrrP2geQjwO5KNiQlhYSUkJXbp0AWDXrl1UV1ebjJ84cYJPPvkELy8vpk+f\njpeXF/n5+fTr1894Kr22tpYlS5bUmbWb07FjR0pLS7l48SIABw8epFevXly4cIGNGzfSuXNnJk+e\njJ+fX51nOqtUKm7fvl1nm2PHjmXHjh1cv37dePf53XWWlZWRnJx839p0Oh1paWlcvnzZJKOamhoy\nMjKMGalUKgwGQ539/JE8hLAl0ryFsLDJkycze/ZsoqOj6devH87OzixdutQ43qFDB/bs2UNISAgR\nERG0bNmSvn37MnHiRJo1a4ZWqyU4OBgnJydatWr1wPt1dHQkOTmZmTNnEh4ezsGDB0lISMDd3Z1T\np04RFBREZGQkhYWFjBo1ymTdoUOHotPp2Lt3r8n7o0aN4osvviAwMND4XlJSEl9++SUTJkwgNjaW\nQYMG3be2Nm3aEBMTw9/+9jcAYmJiiIyMJC4ujvHjx3Pp0iU2btxI//790ev1rFq1qsF5CGFL5Kli\nQgghhI2RmbcQQghhY6R5CyGEEDZGmrcQQghhY6R5CyGEEDZGmrcQQghhY6R5CyGEEDZGmrcQQghh\nY6R5CyGEEDbm/wFsw16fFlxfAgAAAABJRU5ErkJggg==\n","text/plain":["<matplotlib.figure.Figure at 0x7fc29a501f28>"]},"metadata":{"tags":[]}}]},{"metadata":{"id":"DoMim2pNk5DN","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":34},"outputId":"3e38f296-04e7-4f69-df97-0755d2c55015","executionInfo":{"status":"ok","timestamp":1546740832319,"user_tz":-480,"elapsed":672,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["max((recall - FPR).tolist())"],"execution_count":82,"outputs":[{"output_type":"execute_result","data":{"text/plain":["0.914"]},"metadata":{"tags":[]},"execution_count":82}]},{"metadata":{"id":"xeNE2ckCk5DV","colab_type":"code","colab":{}},"cell_type":"code","source":["#lits.index(最大值) #返回这个最大值在list中的索引"],"execution_count":0,"outputs":[]},{"metadata":{"id":"ocUMJcEyk5DZ","colab_type":"code","colab":{}},"cell_type":"code","source":["maxindex = (recall - FPR).tolist().index(max(recall - FPR))"],"execution_count":0,"outputs":[]},{"metadata":{"id":"PBzbhUMBk5Dj","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":34},"outputId":"3cb0d49f-afd5-4d2f-b3f3-c36574975241","executionInfo":{"status":"ok","timestamp":1546741109757,"user_tz":-480,"elapsed":540,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["maxindex #recall, FPR"],"execution_count":84,"outputs":[{"output_type":"execute_result","data":{"text/plain":["43"]},"metadata":{"tags":[]},"execution_count":84}]},{"metadata":{"id":"leX-JO5Jk5Dr","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":34},"outputId":"8aa31541-b376-4a8a-a665-d42fdfaec78a","executionInfo":{"status":"ok","timestamp":1546741158224,"user_tz":-480,"elapsed":728,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["thresholds[maxindex] #decision_function生成的置信度来说"],"execution_count":85,"outputs":[{"output_type":"execute_result","data":{"text/plain":["-1.0860191749391461"]},"metadata":{"tags":[]},"execution_count":85}]},{"metadata":{"id":"uqeACU6ek5D3","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":367},"outputId":"5dead79b-cda0-44b9-ba6f-aa5c05c021a4","executionInfo":{"status":"ok","timestamp":1546741163670,"user_tz":-480,"elapsed":813,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["#我们可以在图像上来看看这个点在哪里\n","plt.scatter(FPR[maxindex],recall[maxindex],c=\"black\",s=30)"],"execution_count":86,"outputs":[{"output_type":"execute_result","data":{"text/plain":["<matplotlib.collections.PathCollection at 0x7fc29a344198>"]},"metadata":{"tags":[]},"execution_count":86},{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAfIAAAFNCAYAAAD7De1wAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nfr5SUlI0efLkrz2HuLhoOZ0Dfw/d43EN+DFMQA42crCRg40cbiIL22Dl0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at 0x7fc29a501c50>"]},"metadata":{"tags":[]}}]},{"metadata":{"id":"FMifzPDbk5D7","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":376},"outputId":"866437af-b298-4016-8263-279710f3c2f9","executionInfo":{"status":"ok","timestamp":1546741168982,"user_tz":-480,"elapsed":962,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["#把上述代码放入这段代码中：\n","plt.figure()\n","plt.plot(FPR, recall, color='red',\n","         label='ROC curve (area = %0.2f)' % area)\n","plt.plot([0, 1], [0, 1], color='black', linestyle='--')\n","plt.scatter(FPR[maxindex],recall[maxindex],c=\"black\",s=30)\n","plt.xlim([-0.05, 1.05])\n","plt.ylim([-0.05, 1.05])\n","plt.xlabel('False Positive Rate')\n","plt.ylabel('Recall')\n","plt.title('Receiver operating characteristic example')\n","plt.legend(loc=\"lower right\")\n","plt.show()"],"execution_count":87,"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAe8AAAFnCAYAAACPasF4AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nEBBgLco75c+fn9mzZzN8+HAASpUqZT3K+14CAgIIDAzEz8+PihUrMmL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p0/rs27eHdu3a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\na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at 0x7fc29a363da0>"]},"metadata":{"tags":[]}}]},{"metadata":{"id":"Zmgi7C9p9_A4","colab_type":"text"},"cell_type":"markdown","source":["# 3 使用SVC时的其他考虑"]},{"metadata":{"id":"JiVSurzvk5ET","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":306},"outputId":"499ac8cc-bb08-4d30-83f7-cfb56554d0c7","executionInfo":{"status":"ok","timestamp":1546741551603,"user_tz":-480,"elapsed":746,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["clf_proba.dual_coef_\n","#属性dual_coef_：查看生成的拉格朗日乘数"],"execution_count":88,"outputs":[{"output_type":"execute_result","data":{"text/plain":["array([[-1.        , -1.        , -1.        , -1.        , -1.        ,\n","        -1.        , -1.        , -1.        , -1.        , -1.        ,\n","        -1.        , -1.        , -1.        , -1.        , -1.        ,\n","        -1.        , -1.        , -1.        , -1.        , -1.        ,\n","        -1.        , -1.        , -1.        , -1.        , -0.50312301,\n","        -1.        , -1.        , -1.        , -1.        , -1.        ,\n","        -1.        , -1.        , -1.        , -1.        , -1.        ,\n","        -1.        , -1.        , -1.        , -1.        , -1.        ,\n","        -1.        , -0.25015141,  0.75327442,  1.        ,  1.        ,\n","         1.        ,  1.        ,  1.        ,  1.        ,  1.        ,\n","         1.        ,  1.        ,  1.        ,  1.        ,  1.        ,\n","         1.        ,  1.        ,  1.        ,  1.        ,  1.        ,\n","         1.        ,  1.        ,  1.        ,  1.        ,  1.        ,\n","         1.        ,  1.        ,  1.        ,  1.        ,  1.        ,\n","         1.        ,  1.        ,  1.        ,  1.        ,  1.        ,\n","         1.        ,  1.        ,  1.        ,  1.        ,  1.        ,\n","         1.        ,  1.        ,  1.        ]])"]},"metadata":{"tags":[]},"execution_count":88}]},{"metadata":{"id":"PZ9yeuikk5EX","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":34},"outputId":"4fccc537-fd8a-4156-8737-e680e6e1a083","executionInfo":{"status":"ok","timestamp":1546741557472,"user_tz":-480,"elapsed":897,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["clf_proba.support_vectors_.shape"],"execution_count":90,"outputs":[{"output_type":"execute_result","data":{"text/plain":["(83, 2)"]},"metadata":{"tags":[]},"execution_count":90}]},{"metadata":{"id":"_YmVUt0Wk5EZ","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":34},"outputId":"912e9ade-9e91-4d98-e0dd-7999b18c08ce","executionInfo":{"status":"ok","timestamp":1546741554720,"user_tz":-480,"elapsed":985,"user":{"displayName":"Sen Yang","photoUrl":"","userId":"00832503676208839570"}}},"cell_type":"code","source":["clf_proba.dual_coef_.shape"],"execution_count":89,"outputs":[{"output_type":"execute_result","data":{"text/plain":["(1, 83)"]},"metadata":{"tags":[]},"execution_count":89}]},{"metadata":{"id":"e7XxHUH-k5Eg","colab_type":"code","colab":{}},"cell_type":"code","source":[""],"execution_count":0,"outputs":[]}]}